Prove logical implications by assuming hypotheses and deriving conclusions with justified steps.
npx skills add https://github.com/0bserver07/bourbaki --skill direct-proof
Please help me install this Agent Skill. Skill: direct-proof Source: https://github.com/0bserver07/bourbaki/tree/main/src/skills/direct-proof Command: npx skills add https://github.com/0bserver07/bourbaki --skill direct-proof
Directly prove statements by assuming a hypothesis and deriving the conclusion through a structured chain of justified steps.
Construct a direct proof by assuming the hypothesis and deriving the conclusion through a justified chain of steps.
High-intent search queries and answers about installing and using this skill.
To build a direct proof, assume the hypothesis and derive the conclusion through a chain of justified steps. Each step must be explicitly justified by definitions, prior results, or algebraic manipulation to ensure logical validity.
A direct proof is a method to prove implications by unpacking definitions and chaining logical steps. Use it for algebraic reasoning tasks like showing that if n is even, then n squared is even, by introducing witnesses and manipulating equations.
Yes, you can apply the direct proof method to Lean 4 formalization. It supports constructing proofs by assuming hypotheses and deriving conclusions through explicitly justified steps, including algebraic manipulation and definition unpacking.
Yes, this direct proof method supports both constructive and algebraic proofs. It systematically identifies the hypothesis and conclusion, then builds a chain of reasoning with explicit justifications tailored to the specific proof style used.
Direct proof systematically unpacks definitions to reveal a logical path from hypothesis to conclusion, requiring explicit justification for every step. Unlike indirect techniques, it builds a straightforward chain of reasoning without relying on contradiction.
dogekikiStructure research notes into coherent derivation documents with assumptions and theory lines.
r-irbeFormalizes applied reasoning tasks into Lean 4 proof workflows and zettelkasten handoffs.
bnebConstruct direct proofs in Lean 4 by applying definitions and inference rules.
ShiienGenerate a LaTeX-ready first-draft proof with stepwise justifications.
