Theorems · Theorem · group theory
Equiv.Perm.ofSubtype_apply_of_mem
∀ {α : Type u_4} {p : α → Prop} [inst : DecidablePred p] {a : α} (f : Equiv.Perm (Subtype p)) (ha : p a),
(Equiv.Perm.ofSubtype f) a = ↑(f ⟨a, ha⟩)- Defined in
- Mathlib.Algebra.Group.End
- Cited by
- 11 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_subtypeproof · cited by 7
Cited by11
Results whose statement or proof uses this declaration.
- Equiv.Perm.cycleOf_applyproof · cited by 6
- Equiv.Perm.SameCycle.cycleOf_applyproof · cited by 5
- Equiv.Perm.ofSubtype_apply_coeproof · cited by 5
- Equiv.Perm.OnCycleFactors.kerParam_range_eqproof · cited by 3
- Equiv.Perm.ofSubtype_mem_stabilizerproof · cited by 2
- Equiv.Perm.ofSubtype_subtypePerm_of_memproof · cited by 2
- Equiv.Perm.ofSubtype_apply_mem_iff_memproof · cited by 1
- Equiv.Perm.support_ofSubtypeproof · cited by 1
- Equiv.Perm.ofSubtype_eq_iffproof · cited by 0
- Equiv.Perm.zpow_eq_ofSubtype_subtypePerm_iffproof · cited by 0
- Equiv.Perm.subtypeEquivSubtypePerm_apply_of_memproof · cited by 0