Mathlib Map

Theorems · Theorem · functional analysis

ContinuousLinearMap.mul.congr_simp

∀ (𝕜 : Type u_1) [inst : NontriviallyNormedField 𝕜] (R : Type u_3) [inst_1 : NonUnitalSeminormedRing R]
  [inst_2 : NormedSpace 𝕜 R] [inst_3 : IsScalarTower 𝕜 R R] [inst_4 : SMulCommClass 𝕜 R R],
  ContinuousLinearMap.mul 𝕜 R = ContinuousLinearMap.mul 𝕜 R
Defined in
Mathlib.Analysis.Normed.Operator.Mul
Cited by
0 results in Mathlib
Foundations
Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldNonUnitalSeminormedRingNormedSpaceIsScalarTowerSMulCommClass
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Around this declaration

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RingHom.id · cited by 18349RingHom.idNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldContinuousLinearMap · cited by 5352ContinuousLinearMapIsScalarTower · cited by 3896IsScalarTowerSMulCommClass · cited by 1927SMulCommClassContinuousLinearMap.mul · cited by 63ContinuousLinearMap.mulNonUnitalSeminormedRing · cited by 44NonUnitalSeminormedRingmul.congr_simpCITED BYCITES

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