Mathlib Map

Theorems · Theorem · order theory

RelIso.refl_apply

∀ {α : Type u_1} (r : α → α → Prop) (a : α), (RelIso.refl r) a = a
Defined in
Mathlib.Order.RelIso.Basic
Cited by
2 results in Mathlib
Foundations
Depth 21 from the axioms · uses Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

RelIso.self_trans_symm · cited by 1RelIso.self_trans_symmRelIso.symm_trans_self · cited by 1RelIso.symm_trans_selfDFunLike.coe · cited by 62936DFunLike.coeRelIso · cited by 456RelIsoRelIso.refl · cited by 10RelIso.reflRelIso.refl_applyCITED BYCITES

Cites3

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

Cited by2

Results whose statement or proof uses this declaration.