Theorems · Definition
Equiv.symm
{α : Sort u} → {β : Sort v} → α ≃ β → β ≃ αInverse of an equivalence e : α ≃ β.
- Defined in
- Mathlib.Logic.Equiv.Defs
- Cited by
- 3,681 results in Mathlib
- Foundations
- Depth 10 from the axioms, rests on 38 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement and proof · cited by 8,337
- Equiv.toFunproof · cited by 279
- Equiv.invFunproof · cited by 163
- Equiv.right_invproof · cited by 68
- Equiv.left_invproof · cited by 59
Cited by4,528
Results whose statement or proof uses this declaration.
- LinearEquiv.symmproof · cited by 1,461
- Cardinal.liftproof · cited by 583
- AddEquiv.symmproof · cited by 530
- MulEquiv.symmproof · cited by 482
- Homeomorph.symmproof · cited by 365
- Equiv.apply_symm_applystatement · cited by 346
- Equiv.transproof · cited by 337
- Equiv.symm_apply_applystatement · cited by 320
- nonempty_fintypeproof · cited by 261
- RelIso.symmproof · cited by 193
- Multiplicative.toAddproof · cited by 161
- MeasurableEquiv.symmproof · cited by 155
Showing the 200 most cited of 4,528.