Theorems · Theorem · functional analysis

ContinuousLinearEquiv.isHomeomorph

∀ {S : Type u_1} [inst : Semiring S] {S₁ : Type u_6} {M : Type u_7} {M₁ : Type u_8} [inst_1 : Semiring S₁]
  {σ : S →+* S₁} {σ' : S₁ →+* S} [inst_2 : RingHomInvPair σ σ'] [inst_3 : RingHomInvPair σ' σ]
  [inst_4 : TopologicalSpace M] [inst_5 : AddCommMonoid M] [inst_6 : Module S M] [inst_7 : TopologicalSpace M₁]
  [inst_8 : AddCommMonoid M₁] [inst_9 : Module S₁ M₁] (f : M ≃SL[σ] M₁), IsHomeomorph ⇑f

Defined in

Mathlib.Topology.Algebra.Module.Equiv

Cited by

2 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringSemiringRingHomInvPairRingHomInvPairTopologicalSpaceAddCommMonoidModuleTopologicalSpaceAddCommMonoidModule