Lean Theorem Proving FAQs

Question 1

Can this skill help optimize existing Lean proofs?

Accepted Answer

Yes, it includes specific guidelines for proof cleanup, such as combining redundant rewrite steps and testing 'simp' to find the most minimal proof structure possible.

Question 2

How does this skill handle Lean errors?

Accepted Answer

It implements a strict error priority system where syntax and type errors must be resolved before addressing unsolved goals or tactic failures, ensuring a stable environment for proof construction.

Question 3

Why does it suggest working on the hardest case first?

Accepted Answer

By tackling the most difficult branch or case initially, you avoid wasting development time on trivial cases for a proof that might ultimately be impossible or require a different approach.

Question 4

Is the use of 'done' and 'sorry' regulated?

Accepted Answer

Yes, 'done' is required to verify active goals, while 'sorry' is permitted as a temporary placeholder for non-active branches to maintain a functional toolchain during development.

Question 5

How does it solve dependent type rewriting issues?

Accepted Answer

The skill utilizes a 'Generalize First, Instantiate Last' strategy, using 'suffices' to prove a statement for an arbitrary parameter before using 'convert' to handle specific dependent type coercions.

Lean Theorem Proving

主な機能

ユースケース

Lean Theorem Proving

主な機能

ユースケース