Theorems · Inductive type
Equiv
Sort u_1 → Sort u_2 → Sort (max (max 1 u_1) u_2)
α ≃ β is the type of functions from α → β with a two-sided inverse.
- Defined in
- Mathlib.Logic.Equiv.Defs
- Cited by
- 8,337 results in Mathlib
- Foundations
- Depth 0 from the axioms, rests on 1 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by11,257
Results whose statement or proof uses this declaration.
- Equiv.symmstatement and proof · cited by 3,681
- LinearEquiv.symmproof · cited by 1,461
- Equiv.Permproof · cited by 1,375
- Cardinal.liftproof · cited by 583
- OrderDual.toDualstatement · cited by 481
- Equiv.injectivestatement and proof · cited by 464
- OrderDual.ofDualstatement · cited by 400
- Homeomorph.symmproof · cited by 365
- Equiv.apply_symm_applystatement and proof · cited by 346
- Equiv.transstatement and proof · cited by 337
- Matrix.ofstatement · cited by 336
- Equiv.symm_apply_applystatement and proof · cited by 320
Showing the 200 most cited of 11,257.