Theorems · Theorem · group theory
Equiv.Perm.ofSubtype_apply_of_not_mem
∀ {α : Type u_4} {p : α → Prop} [inst : DecidablePred p] {a : α} (f : Equiv.Perm (Subtype p)),
¬p a → (Equiv.Perm.ofSubtype f) a = a- Defined in
- Mathlib.Algebra.Group.End
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidablePred
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- MonoidHomstatement · cited by 3,629
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.reflproof · cited by 274
- Equiv.Perm.ofSubtypestatement · cited by 41
- Equiv.Perm.extendDomain_apply_not_subtypeproof · cited by 10
Cited by13
Results whose statement or proof uses this declaration.
- Equiv.Perm.cycleOf_applyproof · cited by 6
- Equiv.Perm.cycleOf_apply_of_not_sameCycleproof · cited by 6
- Equiv.Perm.subtypeEquivSubtypePermproof · cited by 4
- Equiv.Perm.ofSubtype_support_disjointproof · cited by 2
- Equiv.Perm.ofSubtype_apply_mem_iff_memproof · cited by 1
- Equiv.Perm.support_ofSubtypeproof · cited by 1
- Equiv.Perm.disjoint_ofSubtype_of_memFixedPoints_selfproof · cited by 1
- Equiv.Perm.IsCycle.commute_iffproof · cited by 1
- Equiv.Perm.OnCycleFactors.kerParam_applyproof · cited by 1
- Equiv.Perm.ofSubtype_eq_iffproof · cited by 0
- Equiv.Perm.zpow_eq_ofSubtype_subtypePerm_iffproof · cited by 0
- Equiv.Perm.ofSubtype_subtypePerm_of_not_memproof · cited by 0