Theorems · Theorem · order theory
RelIso.sumLexComplRight_apply
∀ {α : Type u_1} {r : α → α → Prop} {x : α} [inst : IsTrans α r] [inst_1 : Std.Trichotomous r] [inst_2 : DecidableRel r]
(a : { x_1 // ¬r x x_1 } ⊕ Subtype (r x)), (RelIso.sumLexComplRight r x) a = (Equiv.sumCompl (r x)) a.swap- Defined in
- Mathlib.Order.Hom.Lex
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Equivstatement · cited by 8,337
- RelIsostatement · cited by 456
- IsTransstatement and proof · cited by 157
- Subrelstatement · cited by 53
- Equiv.sumComplstatement · cited by 23
- RelIso.sumLexComplRightstatement · cited by 2
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