Theorems · Theorem · geometry

ContinuousAffineMap.decompEquiv_symm_contLinear

∀ (R : Type u_1) (V : Type u_3) {W : Type u_4} (Q : Type u_5) [inst : Ring R] [inst_1 : AddCommGroup V]
  [inst_2 : Module R V] [inst_3 : TopologicalSpace V] [inst_4 : IsTopologicalAddGroup V] [inst_5 : AddCommGroup W]
  [inst_6 : Module R W] [inst_7 : TopologicalSpace W] [inst_8 : AddTorsor W Q] [inst_9 : TopologicalSpace Q]
  [inst_10 : IsTopologicalAddTorsor Q] (p : Q × (V →L[R] W)),
  ((ContinuousAffineMap.decompEquiv R V Q).symm p).contLinear = p.2

Defined in

Mathlib.Topology.Algebra.ContinuousAffineMap

Cited by

2 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModuleTopologicalSpaceIsTopologicalAddGroupAddCommGroupModuleTopologicalSpaceAddTorsorTopologicalSpaceIsTopologicalAddTorsor