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

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Aug 21, 2026
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Apache-2.0

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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
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