Theorems · Theorem · functional analysis

LinearMap.IsContPerfPair.bijective_left

∀ {R : Type u_1} {M : Type u_2} {N : Type u_3} {inst : CommRing R} {inst_1 : TopologicalSpace R}
  {inst_2 : AddCommGroup M} {inst_3 : Module R M} {inst_4 : TopologicalSpace M} {inst_5 : AddCommGroup N}
  {inst_6 : Module R N} {inst_7 : TopologicalSpace N} (p : M →ₗ[R] N →ₗ[R] R) [self : p.IsContPerfPair],
  Function.Bijective fun x => { toLinearMap := p x, cont := ⋯ }

Defined in

Mathlib.Topology.Algebra.Module.PerfectPairing

Cited by

0 results in Mathlib

Foundations

Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearMap.IsContPerfPair