Individual skill
proof-skeleton-generator
Generate structured proof skeletons with tactics, strategies, and intermediate lemmas for theorems in Isabelle/HOL or Coq. Use when users need to: (1) Create proof outlines for theorem statements, (2) Generate proof structure with tactic placeholders, (3) Identify key lemmas needed for a proof, (4) Plan proof strategies (induction, case analysis, forward/backward reasoning), (5) Scaffold proofs with intermediate steps and subgoals, or (6) Convert theorem statements into detailed proof templates. Supports both Isabelle/HOL and Coq equally.
skills/proof-skeleton-generator/SKILL.md
Source commit 4f38503747e0617504bce5329283ef837d375c09
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- Observed behavior
- Instructions only
- Last checked
- Nov 11, 2026
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- Repository last updated
- Aug 21, 2026
- License
- Apache-2.0
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- claude-skills Repository topic
- metaprogramming Repository topic
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- engineering Derived category
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SKILL.mdcore · 7,265 bytesreferences/coq_tactics.mddoc · 5,367 bytesreferences/examples.mddoc · 10,108 bytesreferences/isabelle_tactics.mddoc · 3,949 bytes
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# Proof Skeleton Generator
Generate structured proof skeletons with tactics, proof strategies, and key lemmas for theorems in Isabelle/HOL or Coq.
## Workflow
### 1. Analyze the Theorem Statement
Examine the theorem to understand:
- **Quantifiers**: Universal (∀/forall) or existential (∃/exists)
- **Logical structure**: Implications, conjunctions, disjunctions
- **Data types involved**: Lists, natural numbers, custom types
- **Complexity**: Simple equality vs. complex property