theorem-proving-and-counterexamples
CommunityFormalize proofs and discover counterexamples.
Authordzackgarza
Version1.0.0
Installs0
System Documentation
What problem does it solve?
Formalize complex mathematical problems and verify proofs across interactive theorem provers, automated theorem provers, SMT solvers, and specialized CAS, enabling rigorous reasoning beyond manual proofs.
Core Features & Use Cases
- Lean 4 / Mathlib: formalization of contemporary mathematics across algebra, analysis, topology, and number theory.
- Coq (Rocq): foundational proofs and software verification.
- Isabelle/HOL: verification with Sledgehammer automation and AFP library support.
- HOL Light: compact kernel for critical formalizations.
- Prover9 / Mace4: first-order logic, finite models, and equational reasoning.
- Z3 / SMT: arithmetic, optimization, and quantified theories.
- PySAT / MiniZinc: combinatorial solving and constraint modeling.
- GAP / PARI / M2: specialized CAS for algebra and number theory.
Quick Start
Describe a concrete math problem you want formalized and choose a toolchain (e.g., Lean 4 or Prover9) to begin.
Dependency Matrix
Required Modules
None requiredComponents
references
💻 Claude Code Installation
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Please help me install this Skill: Name: theorem-proving-and-counterexamples Download link: https://github.com/dzackgarza/ai/archive/main.zip#theorem-proving-and-counterexamples Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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