Theorems · Theorem · order theory
RelEmbedding.trichotomous
∀ {α : Type u_1} {β : Type u_2} {r : α → α → Prop} {s : β → β → Prop} (x : r ↪r s) [Std.Trichotomous s],
Std.Trichotomous r- Defined in
- Mathlib.Order.RelIso.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- Assumes
- Std.Trichotomous
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Function.Embeddingproof · cited by 988
- Iff.notproof · cited by 489
- RelEmbeddingstatement and proof · cited by 281
- Function.Embedding.injectiveproof · cited by 111
Cited by2
Results whose statement or proof uses this declaration.
- RelEmbedding.isStrictTotalOrderproof · cited by 1
- RelEmbedding.isTrichotomousproof · cited by 0