Theorems · Theorem
Equiv.Perm.subtypeCongr.right_apply
∀ {ε : Type u_9} {p : ε → Prop} [inst : DecidablePred p] (ep : Equiv.Perm { a // p a }) (en : Equiv.Perm { a // ¬p a })
{a : ε} (h : ¬p a), (ep.subtypeCongr en) a = ↑(en ⟨a, h⟩)- Defined in
- Mathlib.Logic.Equiv.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 23 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.
Cites4
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
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.Perm.subtypeCongrstatement · cited by 13
- Equiv.Perm.subtypeCongr.applyproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Equiv.Perm.extendDomain_apply_not_subtypeproof · cited by 10
- Equiv.Perm.subtypeCongr.reflproof · cited by 1
- Equiv.Perm.subtypeCongr.right_apply_subtypeproof · cited by 1