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Theorems · Theorem · functional analysis

isConformalMap_const_smul

∀ {R : Type u_1} {M : Type u_2} [inst : NormedField R] [inst_1 : SeminormedAddCommGroup M] [inst_2 : NormedSpace R M]
  {c : R}, c ≠ 0 → IsConformalMap (c • ContinuousLinearMap.id R M)
Defined in
Mathlib.Analysis.Normed.Operator.Conformal
Cited by
1 results in Mathlib
Foundations
Depth 161 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.

conformalAt_const_smul · cited by 2conformalAt_const_smulRingHom.id · cited by 18349RingHom.idNormedSpace · cited by 12499NormedSpaceContinuousLinearMap · cited by 5352ContinuousLinearMapSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupNormedField · cited by 1084NormedFieldContinuousLinearMap.id · cited by 233ContinuousLinearMap.idIsConformalMap · cited by 21IsConformalMapisConformalMap_id · cited by 2isConformalMap_idIsConformalMap.smul · cited by 1IsConformalMap.smulisConformalMap_const_smulCITED BYCITES

Cites9

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Cited by1

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