Theorems · Theorem · functional analysis

ContinuousLinearMap.toPointwiseConvergenceCLM.congr_simp

∀ {𝕜₁ : Type u_4} (𝕜₂ : Type u_5) [inst : NormedField 𝕜₁] [inst_1 : NormedField 𝕜₂] (σ : 𝕜₁ →+* 𝕜₂) (E : Type u_7)
  (F : Type u_8) [inst_2 : AddCommGroup E] [inst_3 : TopologicalSpace E] [inst_4 : AddCommGroup F]
  [inst_5 : TopologicalSpace F] [inst_6 : IsTopologicalAddGroup F] [inst_7 : Module 𝕜₁ E] [inst_8 : Module 𝕜₂ F]
  [inst_9 : ContinuousSMul 𝕜₁ E] [inst_10 : ContinuousConstSMul 𝕜₂ F],
  ContinuousLinearMap.toPointwiseConvergenceCLM 𝕜₂ σ E F = ContinuousLinearMap.toPointwiseConvergenceCLM 𝕜₂ σ E F

Defined in: Mathlib.Analysis.Distribution.TemperedDistribution
Cited by: 0 results in Mathlib
Foundations: Depth 127 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NormedField NormedField AddCommGroup TopologicalSpace AddCommGroup TopologicalSpace IsTopologicalAddGroup Module Module ContinuousSMul ContinuousConstSMul

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Setstatement · cited by 53,352
TopologicalSpacestatement and proof · cited by 24,529
Modulestatement and proof · cited by 20,661
RingHom.idstatement · cited by 18,349
AddCommGroupstatement and proof · cited by 12,871
RingHomstatement and proof · cited by 10,189
Set.Elemstatement · cited by 7,166
Set.ofPredstatement · cited by 6,101
ContinuousLinearMapstatement · cited by 5,352
Finitestatement · cited by 3,029
IsTopologicalAddGroupstatement and proof · cited by 1,394
NormedFieldstatement and proof · cited by 1,084

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