Mathlib Map

Theorems · Definition · order theory

RelIso.refl

{α : Type u_1} → (r : α → α → Prop) → r ≃r r

Identity map is a relation isomorphism.

Defined in
Mathlib.Order.RelIso.Basic
Cited by
10 results in Mathlib
Foundations
Depth 15 from the axioms · uses Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

OrderIso.refl · cited by 24OrderIso.reflSimpleGraph.Iso.refl · cited by 12Iso.reflRelIso.refl_apply · cited by 2RelIso.refl_applyInitialSeg.refl · cited by 2InitialSeg.reflRelIso.self_trans_symm · cited by 1RelIso.self_trans_symmRelIso.symm_trans_self · cited by 1RelIso.symm_trans_selfRelIso.cast_refl · cited by 0RelIso.cast_reflInitialSeg.exists_sum_relIso · cited by 0InitialSeg.exists_sum_rel…RelIso.trans_refl · cited by 0RelIso.trans_reflRelIso.refl_symm · cited by 0RelIso.refl_symmRelIso.refl_trans · cited by 0RelIso.refl_transRelIso.default_def · cited by 0RelIso.default_defRelIso.one_def · cited by 0RelIso.one_defRelIso · cited by 456RelIsoEquiv.refl · cited by 274Equiv.reflRelIso.reflCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by13

Results whose statement or proof uses this declaration.