Coq Induction Proof Engineering FAQs

Question 1

How does this skill improve my Coq workflow?

Accepted Answer

It streamlines the proof process by identifying the correct induction structure, suggesting specific tactics like rewrite and simpl, and providing troubleshooting steps for common compilation errors in the Arith library.

Question 2

Which Coq lemmas does this skill help apply?

Accepted Answer

The skill provides expert guidance on using standard library lemmas such as plus_n_O (proving n = n + 0) and plus_n_Sm (relating the successor of an addition to a shifted successor), which are essential for induction cases.

Question 3

What tactics does this Claude Code skill support?

Accepted Answer

It provides strategic advice for core Coq tactics including simpl for expression simplification, rewrite for applying lemmas or inductive hypotheses, and reflexivity for closing identical goals.

Question 4

What is the Coq Induction Proof Engineering skill?

Accepted Answer

This is a specialized Claude Code capability designed to guide developers through the construction of mathematical induction proofs within the Coq proof assistant. It specifically helps in proving arithmetic properties like addition commutativity.

Question 5

Can it help me fix errors in existing Coq proofs?

Accepted Answer

Yes. The skill identifies common pitfalls such as incorrect rewriting directions (<- vs ->), missing library imports (Require Import Arith), and version-specific syntax issues to ensure your proofs compile successfully.

Coq Induction Proof Engineering

Coq Induction Proof Engineering

Key Features

Use Cases

Key Features

Use Cases