Theorems · Theorem · group theory
Equiv.Perm.sign_subtypePerm
∀ {α : Type u} [inst : DecidableEq α] [inst_1 : Fintype α] (f : Equiv.Perm α) {p : α → Prop} [inst_2 : DecidablePred p]
(h₁ : ∀ (x : α), p (f x) ↔ p x), (∀ (x : α), f x ≠ x → p x) → Equiv.Perm.sign (f.subtypePerm h₁) = Equiv.Perm.sign f- Defined in
- Mathlib.GroupTheory.Perm.Sign
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Fintypestatement and proof · cited by 7,736
- MonoidHomstatement · cited by 3,629
- Unitsstatement and proof · cited by 2,804
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.Perm.signstatement and proof · cited by 138
- Equiv.Perm.ofSubtypeproof · cited by 41
- Equiv.Perm.IsSwapproof · cited by 35
- Equiv.Perm.subtypePermstatement and proof · cited by 35
- List.prod_homproof · cited by 8
- Trunc.outproof · cited by 6
- Equiv.Perm.truncSwapFactorsproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.Perm.sign_bijproof · cited by 1