Theorems · Theorem · functional analysis

ContinuousMultilinearMap.constOfIsEmpty.congr_simp

∀ (R : Type u) {ι : Type v} (M₁ : ι → Type w₁) {M₂ : Type w₂} [inst : Semiring R]
  [inst_1 : (i : ι) → AddCommMonoid (M₁ i)] [inst_2 : AddCommMonoid M₂] [inst_3 : (i : ι) → Module R (M₁ i)]
  [inst_4 : Module R M₂] [inst_5 : (i : ι) → TopologicalSpace (M₁ i)] [inst_6 : TopologicalSpace M₂]
  [inst_7 : IsEmpty ι] (m m_1 : M₂),
  m = m_1 → ContinuousMultilinearMap.constOfIsEmpty R M₁ m = ContinuousMultilinearMap.constOfIsEmpty R M₁ m_1

Defined in

Mathlib.Analysis.Normed.Module.Multilinear.Basic

Cited by

0 results in Mathlib

Foundations

Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidAddCommMonoidModuleModuleTopologicalSpaceTopologicalSpaceIsEmpty