Theorems · Theorem · order theory
RelEmbedding.isTrans
∀ {α : Type u_1} {β : Type u_2} {r : α → α → Prop} {s : β → β → Prop} (x : r ↪r s) [IsTrans β s], IsTrans α r- Defined in
- Mathlib.Order.RelIso.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- Assumes
- IsTrans
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.coeproof · cited by 62,936
- Function.Embeddingproof · cited by 988
- RelEmbeddingstatement and proof · cited by 281
- IsTransstatement and proof · cited by 157
Cited by3
Results whose statement or proof uses this declaration.
- ZFSet.IsOrdinal.memproof · cited by 7
- RelEmbedding.isPreorderproof · cited by 1
- RelEmbedding.isStrictOrderproof · cited by 1