Theorems · Theorem · geometry

ContinuousAffineMap.coe_mk_contLinear_eq_linear

∀ {R : Type u_1} {V : Type u_2} {W : Type u_3} {P : Type u_4} {Q : Type u_5} [inst : Ring R] [inst_1 : AddCommGroup V]
  [inst_2 : Module R V] [inst_3 : TopologicalSpace P] [inst_4 : AddTorsor V P] [inst_5 : AddCommGroup W]
  [inst_6 : Module R W] [inst_7 : TopologicalSpace Q] [inst_8 : AddTorsor W Q] [inst_9 : TopologicalSpace V]
  [inst_10 : IsTopologicalAddTorsor P] [inst_11 : TopologicalSpace W] [inst_12 : IsTopologicalAddTorsor Q]
  (f : P →ᵃ[R] Q) (h : Continuous f.toFun), ⇑{ toAffineMap := f, cont := h }.contLinear = ⇑f.linear

Defined in

Mathlib.Topology.Algebra.ContinuousAffineMap

Cited by

1 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModuleTopologicalSpaceAddTorsorAddCommGroupModuleTopologicalSpaceAddTorsorTopologicalSpaceIsTopologicalAddTorsorTopologicalSpaceIsTopologicalAddTorsor