Theorems · Definition
Equiv.permCongr
{α' : Type u_1} → {β' : Type u_2} → α' ≃ β' → Equiv.Perm α' ≃ Equiv.Perm β'If α is equivalent to β, then Perm α is equivalent to Perm β.
- Defined in
- Mathlib.Logic.Equiv.Defs
- Cited by
- 27 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.Permstatement · cited by 1,375
- Equiv.equivCongrproof · cited by 10
Cited by32
Results whose statement or proof uses this declaration.
- Equiv.Perm.extendDomainproof · cited by 34
- Equiv.Perm.subtypeCongrproof · cited by 13
- Equiv.Perm.extendDomain_apply_not_subtypeproof · cited by 10
- Equiv.Perm.extendDomain_apply_imageproof · cited by 9
- Equiv.Perm.decomposeFinproof · cited by 9
- Matrix.det_submatrix_equiv_selfproof · cited by 9
- Equiv.Perm.extendDomain_apply_subtypeproof · cited by 7
- Equiv.Perm.sign_permCongrstatement and proof · cited by 5
- Equiv.Perm.sign_extendDomainproof · cited by 4
- Equiv.permCongrHomproof · cited by 4
- Equiv.Perm.decomposeFin_symm_apply_succproof · cited by 3
- Equiv.permCongr_mulstatement · cited by 3