Theorems · Theorem · functional analysis

ContinuousLinearMap.coe_rangeRestrict

∀ {R₁ : Type u_1} {R₂ : Type u_2} [inst : Semiring R₁] [inst_1 : Semiring R₂] {σ₁₂ : R₁ →+* R₂} {M₁ : Type u_4}
  {M₂ : Type u_5} [inst_2 : TopologicalSpace M₁] [inst_3 : AddCommMonoid M₁] [inst_4 : Module R₁ M₁]
  [inst_5 : TopologicalSpace M₂] [inst_6 : AddCommMonoid M₂] [inst_7 : Module R₂ M₂] [inst_8 : RingHomSurjective σ₁₂]
  (f : M₁ →SL[σ₁₂] M₂), ⇑f.rangeRestrict = Set.rangeFactorization ⇑f

Defined in

Mathlib.Topology.Algebra.Module.ContinuousLinearMap.Restrict

Cited by

0 results in Mathlib

Foundations

Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringSemiringTopologicalSpaceAddCommMonoidModuleTopologicalSpaceAddCommMonoidModuleRingHomSurjective