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Theorems · Theorem · order theory

RelHom.id_apply

∀ {α : Type u_1} (r : α → α → Prop) (x : α), (RelHom.id r) x = x
Defined in
Mathlib.Order.RelIso.Basic
Cited by
3 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
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Around this declaration

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

SimpleGraph.Subgraph.map_id · cited by 1Subgraph.map_idSimpleGraph.Iso.symm_toHom_comp_toHom · cited by 1Iso.symm_toHom_comp_toHomSimpleGraph.Iso.toHom_comp_symm_toHom · cited by 0Iso.toHom_comp_symm_toHomDFunLike.coe · cited by 62936DFunLike.coeRelHom · cited by 49RelHomRelHom.id · cited by 4RelHom.idRelHom.id_applyCITED BYCITES

Cites3

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

Cited by3

Results whose statement or proof uses this declaration.