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Theorems · Theorem · group theory

Equiv.Perm.ofSubtype_swap_eq

∀ {α : Type u_1} [inst : DecidableEq α] {p : α → Prop} [inst_1 : DecidablePred p] (x y : Subtype p),
  Equiv.Perm.ofSubtype (Equiv.swap x y) = Equiv.swap ↑x ↑y
Defined in
Mathlib.GroupTheory.Perm.Support
Cited by
1 results in Mathlib
Foundations
Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqDecidablePred
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Equiv.Perm.IsSwap.of_subtype_isSwap · cited by 1IsSwap.of_subtype_isSwapDFunLike.coe · cited by 62936DFunLike.coeMonoidHom · cited by 3629MonoidHomEquiv.Perm · cited by 1375Equiv.PermEquiv.swap · cited by 197Equiv.swapEquiv.Perm.ofSubtype · cited by 41Perm.ofSubtypePerm.ofSubtype_swap_eqCITED BYCITES

Cites5

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Cited by1

Results whose statement or proof uses this declaration.