Theorems · Theorem · order theory
RelHom.map_rel
∀ {α : Type u_1} {β : Type u_2} {r : α → α → Prop} {s : β → β → Prop} (f : r →r s) {a b : α}, r a b → s (f a) (f b)- Defined in
- Mathlib.Order.RelIso.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- RelHomstatement and proof · cited by 49
- RelHom.map_rel'proof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- SimpleGraph.Coloring.validproof · cited by 11
- RelHom.swapproof · cited by 1
- WellQuasiOrdered.of_surjectiveproof · cited by 1
- SimpleGraph.colorable_one_iffproof · cited by 1
- RelHom.injective_of_increasingproof · cited by 0