Theorems · Definition · group theory
Equiv.permCongrHom
{α : Type u_4} → {β : Type u_5} → α ≃ β → Equiv.Perm α ≃* Equiv.Perm βIf α is equivalent to β, then Perm α is equivalent to Perm β.
- Defined in
- Mathlib.Algebra.Group.End
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
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.Permstatement and proof · cited by 1,375
- MulEquivstatement · cited by 1,142
- Equiv.permCongrproof · cited by 27
- Equiv.permCongr_mulproof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- Equiv.altCongrHomproof · cited by 1
- Equiv.permCongrHom_symmstatement · cited by 0
- Equiv.permCongrHom_transstatement · cited by 0
- Sylow.mulEquivIteratedWreathProductproof · cited by 0
- Equiv.permCongrHom_coestatement · cited by 0
- Equiv.permCongrHom_coe_equivstatement · cited by 0