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Theorems · Theorem · functional analysis

isConformalMap_id

∀ {R : Type u_1} {M : Type u_2} [inst : NormedField R] [inst_1 : SeminormedAddCommGroup M] [inst_2 : NormedSpace R M],
  IsConformalMap (ContinuousLinearMap.id R M)
Defined in
Mathlib.Analysis.Normed.Operator.Conformal
Cited by
2 results in Mathlib
Foundations
Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedFieldSeminormedAddCommGroupNormedSpace
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Around this declaration

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

isConformalMap_const_smul · cited by 1isConformalMap_const_smulconformalAt_id · cited by 1conformalAt_idNormedSpace · cited by 12499NormedSpaceSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupone_smul · cited by 1374one_smulNormedField · cited by 1084NormedFieldone_ne_zero · cited by 885one_ne_zeroContinuousLinearMap.id · cited by 233ContinuousLinearMap.idIsConformalMap · cited by 21IsConformalMapLinearIsometry.id · cited by 12LinearIsometry.idisConformalMap_idCITED BYCITES

Cites8

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Cited by2

Results whose statement or proof uses this declaration.