# Collateral Inclusion Proof ⎊ Area ⎊ Resource 1 --- ## What is the Collateral of Collateral Inclusion Proof? A Collateral Inclusion Proof functions as a cryptographic attestation within decentralized finance, verifying the presence of specific assets securing a derivative position. This proof is essential for transparent risk management, enabling off-chain calculations to be validated against on-chain realities, particularly in scenarios involving margin requirements and liquidation thresholds. Its utility extends to enhancing the auditability of collateralized debt positions, reducing counterparty risk by providing verifiable evidence of sufficient backing for financial obligations. The implementation of such proofs facilitates more efficient capital utilization and supports the development of sophisticated decentralized financial instruments. ## What is the Algorithm of Collateral Inclusion Proof? The underlying algorithm for a Collateral Inclusion Proof typically leverages Merkle trees or similar data structures to represent the set of collateral assets. Constructing a Merkle proof demonstrates inclusion of a specific collateral item within the larger set without revealing the entire dataset, optimizing for data efficiency and privacy. Verification of the proof involves a cryptographic check against a known root hash, ensuring the integrity and authenticity of the collateral information. This algorithmic approach is crucial for scalability, allowing for the efficient validation of numerous collateral positions within a decentralized system. ## What is the Application of Collateral Inclusion Proof? Application of Collateral Inclusion Proofs is prominent in decentralized options trading and perpetual futures contracts, where collateralization is paramount. These proofs enable decentralized exchanges to accurately assess margin calls and trigger liquidations based on real-time collateral status, minimizing the potential for undercollateralization. Furthermore, they support the creation of synthetic assets and complex derivatives by providing a reliable mechanism for verifying the backing of these instruments. The broader application extends to cross-chain interoperability, allowing for the verification of collateral across different blockchain networks. --- ## [Collateral Management](https://term.greeks.live/definition/collateral-management/) The continuous process of monitoring and adjusting assets pledged to secure obligations against market volatility. ⎊ Definition ## [Collateral Requirements](https://term.greeks.live/definition/collateral-requirements/) Mandatory assets deposited to secure derivative positions and mitigate counterparty risk within a trading protocol. ⎊ Definition ## [Collateral Efficiency](https://term.greeks.live/definition/collateral-efficiency/) The optimization of deposited asset utility to support maximum trading leverage without compromising protocol solvency. ⎊ Definition ## [Collateral Risk](https://term.greeks.live/definition/collateral-risk/) The risk that pledged assets lose value or liquidity, triggering liquidations and potentially causing systemic instability. ⎊ Definition ## [Collateral Value](https://term.greeks.live/definition/collateral-value/) The effective credit-providing value of an asset when used to secure a loan or margin position. ⎊ Definition ## [Collateral Pool](https://term.greeks.live/term/collateral-pool/) Meaning ⎊ Collateral pools in decentralized options markets serve as a risk-sharing mechanism, aggregating assets to enable capital-efficient options writing and replacing traditional counterparty risk management. ⎊ Definition ## [Collateral Pools](https://term.greeks.live/term/collateral-pools/) Meaning ⎊ Collateral pools aggregate liquidity from multiple sources to underwrite options, creating a mutualized risk environment for enhanced capital efficiency. ⎊ Definition ## [Proof-of-Stake](https://term.greeks.live/definition/proof-of-stake/) A consensus method securing a network by requiring validators to lock tokens as collateral to participate in block validation. ⎊ Definition ## [Collateral Optimization](https://term.greeks.live/definition/collateral-optimization/) Strategically managing assets posted as security to maximize capital efficiency and yield generation. ⎊ Definition ## [Yield-Bearing Collateral](https://term.greeks.live/definition/yield-bearing-collateral/) Using interest-earning assets as collateral to maximize capital efficiency while simultaneously generating returns. ⎊ Definition ## [Proof-of-Work](https://term.greeks.live/term/proof-of-work/) Meaning ⎊ Proof-of-Work establishes a cost-of-production security model, linking energy expenditure to network finality and underpinning collateral integrity for decentralized derivatives. ⎊ Definition ## [Proof Generation](https://term.greeks.live/term/proof-generation/) Meaning ⎊ Proof Generation enables private options trading by cryptographically verifying financial logic without exposing sensitive position data on the public ledger. ⎊ Definition ## [Multi-Asset Collateral](https://term.greeks.live/term/multi-asset-collateral/) Meaning ⎊ Multi-Asset Collateral optimizes capital efficiency in decentralized derivatives by allowing a diverse basket of assets to serve as margin, reducing fragmentation and systemic risk. ⎊ Definition ## [Collateral Dependencies](https://term.greeks.live/term/collateral-dependencies/) Meaning ⎊ Collateral dependencies are the foundational risk management mechanisms in decentralized options, requiring assets to be locked to cover potential liabilities and ensure protocol solvency. ⎊ Definition ## [Cross-Chain Collateral](https://term.greeks.live/term/cross-chain-collateral/) Meaning ⎊ Cross-chain collateral allows assets on one blockchain to secure derivative positions on another, addressing liquidity fragmentation and capital inefficiency through inter-chain state verification and shared risk management frameworks. ⎊ Definition ## [Collateral Diversification](https://term.greeks.live/definition/collateral-diversification/) The practice of using a mix of uncorrelated assets as collateral to reduce systemic risk and improve portfolio resilience. ⎊ Definition ## [Collateral Haircuts](https://term.greeks.live/definition/collateral-haircuts/) A percentage reduction in the recognized value of collateral to provide a safety buffer against price volatility. ⎊ Definition ## [Collateral Assets](https://term.greeks.live/term/collateral-assets/) Meaning ⎊ Collateral assets are the essential on-chain security mechanism that ensures counterparty obligations are met within decentralized derivatives markets. ⎊ Definition ## [Collateral Valuation](https://term.greeks.live/definition/collateral-valuation/) The real-time process of assessing the market value of all account assets to determine margin compliance. ⎊ Definition ## [Zero Knowledge Proof Verification](https://term.greeks.live/term/zero-knowledge-proof-verification/) Meaning ⎊ Zero Knowledge Proof verification enables decentralized derivatives markets to achieve verifiable integrity while preserving user privacy and preventing front-running. ⎊ Definition ## [Collateral Ratios](https://term.greeks.live/definition/collateral-ratios/) The relationship between the value of a position and the pledged collateral, indicating the safety buffer of the debt. ⎊ Definition ## [Interest-Bearing Collateral](https://term.greeks.live/term/interest-bearing-collateral/) Meaning ⎊ Interest-bearing collateral enables the simultaneous use of assets for yield generation and derivatives underwriting, significantly enhancing capital efficiency while introducing complex new systemic risks. ⎊ Definition ## [Dynamic Collateral Ratios](https://term.greeks.live/term/dynamic-collateral-ratios/) Meaning ⎊ Dynamic Collateral Ratios dynamically adjust capital requirements for options positions based on real-time market risk, optimizing capital efficiency and mitigating systemic liquidation risk. ⎊ Definition ## [Risk-Adjusted Collateral](https://term.greeks.live/term/risk-adjusted-collateral/) Meaning ⎊ Risk-Adjusted Collateral dynamically discounts collateral value based on volatility and liquidity to prevent cascading liquidations during market downturns. ⎊ Definition ## [Collateral Verification](https://term.greeks.live/definition/collateral-verification/) The secure, often private process of confirming that a participant has enough assets to support their financial positions. ⎊ Definition ## [Collateral Utilization](https://term.greeks.live/term/collateral-utilization/) Meaning ⎊ Collateral utilization measures the efficiency of capital deployment in decentralized derivatives, balancing risk exposure against available collateral through advanced margining techniques. ⎊ Definition ## [Zero-Knowledge Proof Oracles](https://term.greeks.live/term/zero-knowledge-proof-oracles/) Meaning ⎊ Zero-Knowledge Proof Oracles provide a trustless mechanism for verifying off-chain data integrity and complex computations without revealing underlying inputs, enabling privacy-preserving decentralized derivatives. ⎊ Definition ## [Cryptographic Proof Verification](https://term.greeks.live/definition/cryptographic-proof-verification/) The use of mathematical techniques to ensure data authenticity and integrity without relying on a central authority. ⎊ Definition ## [Collateral Management Systems](https://term.greeks.live/term/collateral-management-systems/) Meaning ⎊ A Collateral Management System is the automated risk engine that enforces margin requirements and liquidations in decentralized derivatives protocols. ⎊ Definition ## [Proof Generation Cost](https://term.greeks.live/term/proof-generation-cost/) Meaning ⎊ Proof Generation Cost represents the computational expense of generating validity proofs, directly impacting transaction fees and financial viability for on-chain derivatives. ⎊ Definition --- ## 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The bands vary in color, including deep blue, vibrant teal, and off-white, suggesting a complex, interconnected system." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/cross-chain-collateral/", "url": "https://term.greeks.live/term/cross-chain-collateral/", "headline": "Cross-Chain Collateral", "description": "Meaning ⎊ Cross-chain collateral allows assets on one blockchain to secure derivative positions on another, addressing liquidity fragmentation and capital inefficiency through inter-chain state verification and shared risk management frameworks. ⎊ Definition", "datePublished": "2025-12-14T10:20:10+00:00", "dateModified": "2026-01-04T13:49:29+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/cross-chain-interoperability-protocol-facilitating-atomic-swaps-between-decentralized-finance-layer-2-solutions.jpg", "width": 3850, "height": 2166, "caption": "A detailed mechanical connection between two cylindrical objects is shown in a cross-section view, revealing internal components including a central threaded shaft, glowing green rings, and sinuous beige structures. 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The colors transition from muted gray and a vibrant teal-green in the foreground to deeper blues and white in the background, creating a sense of depth and progression." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/collateral-haircuts/", "url": "https://term.greeks.live/definition/collateral-haircuts/", "headline": "Collateral Haircuts", "description": "A percentage reduction in the recognized value of collateral to provide a safety buffer against price volatility. ⎊ Definition", "datePublished": "2025-12-14T10:50:03+00:00", "dateModified": "2026-04-07T08:58:45+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/decentralized-options-trading-mechanism-algorithmic-collateral-management-and-implied-volatility-dynamics-within-defi-protocols.jpg", "width": 3850, "height": 2166, "caption": "A close-up view shows a sophisticated mechanical component, featuring a central dark blue structure containing rotating bearings and an axle. A prominent, vibrant green flexible band wraps around a light-colored inner ring, guided by small grey points." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/collateral-assets/", "url": "https://term.greeks.live/term/collateral-assets/", "headline": "Collateral Assets", "description": "Meaning ⎊ Collateral assets are the essential on-chain security mechanism that ensures counterparty obligations are met within decentralized derivatives markets. ⎊ Definition", "datePublished": "2025-12-14T10:52:06+00:00", "dateModified": "2026-01-04T14:02:45+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/multi-asset-collateral-structure-for-structured-derivatives-product-segmentation-in-decentralized-finance.jpg", "width": 3850, "height": 2166, "caption": "A macro close-up depicts a dark blue spiral structure enveloping an inner core with distinct segments. The core transitions from a solid dark color to a pale cream section, and then to a bright green section, suggesting a complex, multi-component assembly." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/collateral-valuation/", "url": "https://term.greeks.live/definition/collateral-valuation/", "headline": "Collateral Valuation", "description": "The real-time process of assessing the market value of all account assets to determine margin compliance. ⎊ Definition", "datePublished": "2025-12-14T10:56:26+00:00", "dateModified": "2026-03-29T01:09:59+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/risk-decomposition-and-layered-tranches-in-options-trading-and-complex-financial-derivatives.jpg", "width": 3850, "height": 2166, "caption": "A high-resolution cross-section displays a cylindrical form with concentric layers in dark blue, light blue, green, and cream hues. A central, broad structural element in a cream color slices through the layers, revealing the inner mechanics." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/zero-knowledge-proof-verification/", "url": "https://term.greeks.live/term/zero-knowledge-proof-verification/", "headline": "Zero Knowledge Proof Verification", "description": "Meaning ⎊ Zero Knowledge Proof verification enables decentralized derivatives markets to achieve verifiable integrity while preserving user privacy and preventing front-running. ⎊ Definition", "datePublished": "2025-12-15T08:29:19+00:00", "dateModified": "2025-12-15T08:29:19+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/interoperable-architecture-of-proof-of-stake-validation-and-collateralized-derivative-tranching.jpg", "width": 3850, "height": 2166, "caption": "A cutaway view reveals the inner workings of a multi-layered cylindrical object with glowing green accents on concentric rings. The abstract design suggests a schematic for a complex technical system or a financial instrument's internal structure." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/collateral-ratios/", "url": "https://term.greeks.live/definition/collateral-ratios/", "headline": "Collateral Ratios", "description": "The relationship between the value of a position and the pledged collateral, indicating the safety buffer of the debt. ⎊ Definition", "datePublished": "2025-12-15T08:45:19+00:00", "dateModified": "2026-04-06T17:08:46+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/algorithmic-collateral-management-protocol-for-perpetual-options-in-decentralized-autonomous-organizations.jpg", "width": 3850, "height": 2166, "caption": "A dark blue, triangular base supports a complex, multi-layered circular mechanism. The circular component features segments in light blue, white, and a prominent green, suggesting a dynamic, high-tech instrument." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/interest-bearing-collateral/", "url": "https://term.greeks.live/term/interest-bearing-collateral/", "headline": "Interest-Bearing Collateral", "description": "Meaning ⎊ Interest-bearing collateral enables the simultaneous use of assets for yield generation and derivatives underwriting, significantly enhancing capital efficiency while introducing complex new systemic risks. ⎊ Definition", "datePublished": "2025-12-15T08:47:32+00:00", "dateModified": "2026-01-04T14:28:54+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/collateralization-of-structured-products-and-layered-risk-tranches-in-decentralized-finance-ecosystems.jpg", "width": 3850, "height": 2166, "caption": "A complex, layered abstract form dominates the frame, showcasing smooth, flowing surfaces in dark blue, beige, bright blue, and vibrant green. The various elements fit together organically, suggesting a cohesive, multi-part structure with a central core." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/dynamic-collateral-ratios/", "url": "https://term.greeks.live/term/dynamic-collateral-ratios/", "headline": "Dynamic Collateral Ratios", "description": "Meaning ⎊ Dynamic Collateral Ratios dynamically adjust capital requirements for options positions based on real-time market risk, optimizing capital efficiency and mitigating systemic liquidation risk. ⎊ Definition", "datePublished": "2025-12-15T08:49:35+00:00", "dateModified": "2026-01-04T14:31:10+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/decentralized-finance-protocol-algorithmic-volatility-dampening-mechanism-for-derivative-settlement-optimization.jpg", "width": 3850, "height": 2166, "caption": "The image displays a cutaway view of a precision technical mechanism, revealing internal components including a bright green dampening element, metallic blue structures on a threaded rod, and an outer dark blue casing. The assembly illustrates a mechanical system designed for precise movement control and impact absorption." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/risk-adjusted-collateral/", "url": "https://term.greeks.live/term/risk-adjusted-collateral/", "headline": "Risk-Adjusted Collateral", "description": "Meaning ⎊ Risk-Adjusted Collateral dynamically discounts collateral value based on volatility and liquidity to prevent cascading liquidations during market downturns. ⎊ Definition", "datePublished": "2025-12-15T09:26:24+00:00", "dateModified": "2026-01-04T14:45:18+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/dynamic-risk-weighted-asset-allocation-structure-for-decentralized-finance-options-strategies-and-collateralization.jpg", "width": 3850, "height": 2166, "caption": "A 3D rendered abstract mechanical object features a dark blue frame with internal cutouts. Light blue and beige components interlock within the frame, with a bright green piece positioned along the upper edge." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/collateral-verification/", "url": "https://term.greeks.live/definition/collateral-verification/", "headline": "Collateral Verification", "description": "The secure, often private process of confirming that a participant has enough assets to support their financial positions. ⎊ Definition", "datePublished": "2025-12-15T09:26:45+00:00", "dateModified": "2026-03-22T23:37:46+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/algorithmic-execution-module-trigger-for-options-market-data-feed-and-decentralized-protocol-verification.jpg", "width": 3850, "height": 2166, "caption": "The image displays a high-tech, futuristic object, rendered in deep blue and light beige tones against a dark background. A prominent bright green glowing triangle illuminates the front-facing section, suggesting activation or data processing." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/collateral-utilization/", "url": "https://term.greeks.live/term/collateral-utilization/", "headline": "Collateral Utilization", "description": "Meaning ⎊ Collateral utilization measures the efficiency of capital deployment in decentralized derivatives, balancing risk exposure against available collateral through advanced margining techniques. ⎊ Definition", "datePublished": "2025-12-15T09:34:31+00:00", "dateModified": "2025-12-15T09:34:31+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/algorithmic-collateralization-and-perpetual-swap-execution-mechanics-in-decentralized-financial-derivatives-markets.jpg", "width": 3850, "height": 2166, "caption": "A stylized mechanical device, cutaway view, revealing complex internal gears and components within a streamlined, dark casing. The green and beige gears represent the intricate workings of a sophisticated algorithm." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/zero-knowledge-proof-oracles/", "url": "https://term.greeks.live/term/zero-knowledge-proof-oracles/", "headline": "Zero-Knowledge Proof Oracles", "description": "Meaning ⎊ Zero-Knowledge Proof Oracles provide a trustless mechanism for verifying off-chain data integrity and complex computations without revealing underlying inputs, enabling privacy-preserving decentralized derivatives. ⎊ Definition", "datePublished": "2025-12-15T09:37:35+00:00", "dateModified": "2025-12-15T09:37:35+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/advanced-algorithmic-derivative-pricing-core-calculating-volatility-surface-parameters-for-decentralized-protocol-execution.jpg", "width": 3850, "height": 2166, "caption": "A high-resolution, close-up view shows a futuristic, dark blue and black mechanical structure with a central, glowing green core. Green energy or smoke emanates from the core, highlighting a smooth, light-colored inner ring set against the darker, sculpted outer shell." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/cryptographic-proof-verification/", "url": "https://term.greeks.live/definition/cryptographic-proof-verification/", "headline": "Cryptographic Proof Verification", "description": "The use of mathematical techniques to ensure data authenticity and integrity without relying on a central authority. ⎊ Definition", "datePublished": "2025-12-15T09:40:42+00:00", "dateModified": "2026-04-07T12:57:06+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/multi-layered-risk-assessment-in-structured-derivatives-and-algorithmic-trading-protocols.jpg", "width": 3850, "height": 2166, "caption": "A highly stylized geometric figure featuring multiple nested layers in shades of blue, cream, and green. The structure converges towards a glowing green circular core, suggesting depth and precision." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/collateral-management-systems/", "url": "https://term.greeks.live/term/collateral-management-systems/", "headline": "Collateral Management Systems", "description": "Meaning ⎊ A Collateral Management System is the automated risk engine that enforces margin requirements and liquidations in decentralized derivatives protocols. ⎊ Definition", "datePublished": "2025-12-15T09:46:53+00:00", "dateModified": "2026-01-04T14:55:29+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/interoperability-protocol-synchronization-and-cross-chain-asset-bridging-mechanism-visualization.jpg", "width": 3850, "height": 2166, "caption": "A high-resolution, stylized cutaway rendering displays two sections of a dark cylindrical device separating, revealing intricate internal components. A central silver shaft connects the green-cored segments, surrounded by intricate gear-like mechanisms." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/proof-generation-cost/", "url": "https://term.greeks.live/term/proof-generation-cost/", "headline": "Proof Generation Cost", "description": "Meaning ⎊ Proof Generation Cost represents the computational expense of generating validity proofs, directly impacting transaction fees and financial viability for on-chain derivatives. ⎊ Definition", "datePublished": "2025-12-15T09:54:05+00:00", "dateModified": "2026-01-04T14:57:13+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/decentralized-finance-automated-market-maker-protocol-architecture-elastic-price-discovery-dynamics-and-yield-generation.jpg", "width": 3850, "height": 2166, "caption": "A cutaway view highlights the internal components of a mechanism, featuring a bright green helical spring and a precision-engineered blue piston assembly. The mechanism is housed within a dark casing, with cream-colored layers providing structural support for the dynamic elements." } } ], "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/intricate-layered-architecture-of-perpetual-futures-contracts-collateralization-and-options-derivatives-risk-management.jpg" } } ``` --- **Original URL:** https://term.greeks.live/area/collateral-inclusion-proof/resource/1/