proof-skeleton-generator

What problem does it solve?

This Skill automates the creation of structured proof outlines for complex theorems, significantly reducing the cognitive load and time required for formal verification in proof assistants like Isabelle/HOL and Coq.

Core Features & Use Cases

• Proof Structure Generation: Creates a scaffold for proofs, including tactic placeholders, case analysis, and induction schemes.
• Strategy Planning: Helps users identify and plan appropriate proof strategies (induction, case analysis, forward/backward reasoning).
• Lemma Identification: Assists in pinpointing necessary intermediate lemmas required for a proof.
• Use Case: A mathematician needs to prove a complex property about a recursive data structure in Coq. Instead of starting from scratch, they use this Skill to generate a proof skeleton that outlines the induction steps, case splits, and necessary lemmas, allowing them to focus on filling in the specific proof details.

Quick Start

Use the proof-skeleton-generator skill to create a proof skeleton for the theorem 'forall n m : nat, n + m = m + n' in Coq.