Provide Lean 4 tactics for simplifying proofs with simp only failures.
npx skills add https://github.com/fmhall/lean-png --skill lean-simp-tactics-fmhall
Please help me install this Agent Skill. Skill: lean-simp-tactics Source: https://github.com/fmhall/lean-png/tree/main/.claude/skills/lean-simp-tactics Command: npx skills add https://github.com/fmhall/lean-png --skill lean-simp-tactics-fmhall
This Skill provides a comprehensive set of tactics to solve common proof simplification challenges in Lean 4, offering solutions for unexpected simp only failures, handling Bool vs Prop issues, and more.
simp only Issues: Offers strategies to overcome issues when simp only fails unexpectedly.Bool and Prop types.simp only fails to simplify expressions involving List.filter and anonymous lambdas, this Skill offers a solution using full simp (without only).Run the skill with the command: run lean-simp-tactics -- problem "When 'simp only' fails unexpectedly in Lean 4 proofs."
High-intent search queries and answers about installing and using this skill.
In Lean 4, `simp only` fails unexpectedly when it lacks specific rewrite rules for complex expressions, often requiring full `simp` to resolve simplification challenges involving anonymous lambdas or List.filter.
Handling Bool vs Prop conditions in Lean 4 requires specialized tactics to bridge conditional expressions, resolving type mismatches that prevent standard proof simplification from evaluating correctly.
The best way to simplify Lean 4 proofs with `if` conditions and recursive calls is applying expert tactics designed to resolve conditional expressions and manage recursive evaluation failures.
Yes, you need an active Lean 4 environment and basic familiarity with Lean proof tactics to effectively deploy these simplification strategies and resolve conditional expression issues.
Yes, using full `simp` without the `only` modifier resolves simplification failures involving `List.filter` and anonymous lambdas by allowing Lean 4 to apply all available rewrite rules.
A key limitation of `simp only` in Lean 4 formal verification is its failure to simplify expressions involving `List.filter` and anonymous lambdas, necessitating full `simp` or expert tactics for resolution.
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