Theorems · Theorem · group theory
Equiv.Perm.IsSwap.of_subtype_isSwap
∀ {α : Type u_1} [inst : DecidableEq α] {p : α → Prop} [inst_1 : DecidablePred p] {f : Equiv.Perm (Subtype p)},
f.IsSwap → (Equiv.Perm.ofSubtype f).IsSwap- Defined in
- Mathlib.GroupTheory.Perm.Support
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqDecidablePred
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- MonoidHomstatement · cited by 3,629
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.swapproof · cited by 197
- Equiv.Perm.ofSubtypestatement and proof · cited by 41
- Equiv.Perm.IsSwapstatement and proof · cited by 35
- Equiv.Perm.ofSubtype_swap_eqproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.Perm.sign_subtypePermproof · cited by 1