Theorems · Theorem · order theory
RelEmbedding.ofMapRelIff_coe
∀ {α : Type u_1} {β : Type u_2} {r : α → α → Prop} {s : β → β → Prop} (f : α → β) [inst : Std.Antisymm r]
[inst_1 : Std.Refl s] (hf : ∀ (a b : α), s (f a) (f b) ↔ r a b), ⇑(RelEmbedding.ofMapRelIff f hf) = f- Defined in
- Mathlib.Order.RelIso.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- Assumes
- Std.AntisymmStd.Refl
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Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RelEmbeddingstatement · cited by 281
- RelEmbedding.ofMapRelIffstatement · cited by 1
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