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Theorems · Theorem · order theory

PrincipalSeg.toRelEmbedding_injective

∀ {α : Type u_1} {β : Type u_2} {r : α → α → Prop} {s : β → β → Prop} [Std.Irrefl s] [Std.Trichotomous s],
  Function.Injective PrincipalSeg.toRelEmbedding
Defined in
Mathlib.Order.InitialSeg
Cited by
1 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Std.IrreflStd.Trichotomous
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Around this declaration

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PrincipalSeg.toRelEmbedding_inj · cited by 1PrincipalSeg.toRelEmbeddi…DFunLike.coe · cited by 62936DFunLike.coeSet.range · cited by 4705Set.rangeRelEmbedding · cited by 281RelEmbeddingPrincipalSeg.toRelEmbedding · cited by 129PrincipalSeg.toRelEmbeddi…PrincipalSeg · cited by 73PrincipalSegextensional_of_trichotomous_of_irrefl · cited by 1extensional_of_trichotomo…PrincipalSeg.casesOn · cited by 1PrincipalSeg.casesOnPrincipalSeg.toRelEmbedding_i…CITED BYCITES

Cites7

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Cited by1

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