cyberneticlibrary

Write and verify mathematical proofs

proof-techniquesskillsetup L164
Tibsfox/gsd-skill-creator
What it does

Select and execute proof strategies for mathematical claims

Best for

Teaching proof writing and selecting among 13 canonical techniques

Inputs
  • · Mathematical proposition, proof attempt feedback
Outputs
  • · Proof using direct, contrapositive, induction, or contradiction
Preconditions

Claim is expressible in formal logic

Failure modes
  • · Undecidable claim
  • · Technique mismatch to hypothesis structure
Trust signals
  • · 13 named techniques with heuristics
  • · Canonical worked examples