Theorems · Theorem · order theory
RelEmbedding.irrefl
∀ {α : Type u_1} {β : Type u_2} {r : α → α → Prop} {s : β → β → Prop} (f : r ↪r s) [Std.Irrefl s], Std.Irrefl r- Defined in
- Mathlib.Order.RelIso.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
- Assumes
- Std.Irrefl
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
- RelEmbeddingstatement and proof · cited by 281
- RelEmbedding.map_rel_iffproof · cited by 25
- irreflproof · cited by 15
Cited by2
Results whose statement or proof uses this declaration.
- RelEmbedding.isStrictOrderproof · cited by 1
- RelEmbedding.isIrreflproof · cited by 0