Theorems · Definition · group theory
Rack.selfApplyEquiv
(R : Type u_2) → [Rack R] → R ≃ R
The map x ↦ x ◃ x is a bijection. (This has applications for the
regular isotopy version of the Reidemeister I move for knot diagrams.)
- Defined in
- Mathlib.Algebra.Quandle
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
- Assumes
- Rack
Around this declaration
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement · cited by 8,337
- Rackstatement and proof · cited by 49
- Shelf.actproof · cited by 37
- Rack.invActproof · cited by 18
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