Mathlib Map

Theorems · Theorem · functional analysis

RCLike.map_same_eq_id

∀ {K : Type u_1} [inst : RCLike K], RCLike.map K K = ContinuousLinearMap.id ℝ K
Defined in
Mathlib.Analysis.RCLike.Basic
Cited by
1 results in Mathlib
Foundations
Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RCLike
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

RCLike.sqrt_complex · cited by 0RCLike.sqrt_complexReal · cited by 25697RealRingHom.id · cited by 18349RingHom.idContinuousLinearMap · cited by 5352ContinuousLinearMapRCLike · cited by 2829RCLikeContinuousLinearMap.ext · cited by 320ContinuousLinearMap.extContinuousLinearMap.id · cited by 233ContinuousLinearMap.idRCLike.re_add_im · cited by 21RCLike.re_add_imRCLike.map · cited by 14RCLike.mapRCLike.map_apply · cited by 12RCLike.map_applyRCLike.map_same_eq_idCITED BYCITES

Cites9

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

Cited by1

Results whose statement or proof uses this declaration.