bijections_and_isomorphisms
CommunityProve structures are equivalent with isomorphisms.
Authorbneb
Version1.0.0
Installs0
System Documentation
What problem does it solve?
Prove that two mathematical structures are essentially identical by exhibiting a structure-preserving map with an inverse; used to transfer properties and count equivalences.
Core Features & Use Cases
- Establish a bijection or isomorphism between mathematical structures (sets, groups, graphs, rings) to transfer properties.
- Provide explicit forward and inverse maps and prove injectivity and surjectivity to certify equivalence.
- Apply within Lean 4 / mathlib4 formalizations to reuse results and streamline proofs across related objects.
Quick Start
Define a forward map f: A → B and prove it is bijective to establish the isomorphism.
Dependency Matrix
Required Modules
None requiredComponents
Standard package💻 Claude Code Installation
Recommended: Let Claude install automatically. Simply copy and paste the text below to Claude Code.
Please help me install this Skill: Name: bijections_and_isomorphisms Download link: https://github.com/bneb/perqed/archive/main.zip#bijections-and-isomorphisms Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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