Theorems · Theorem · functional analysis

continuous_skewAdjointPart

∀ (R : Type u_1) (A : Type u_2) [inst : Semiring R] [inst_1 : StarMul R] [inst_2 : TrivialStar R]
  [inst_3 : AddCommGroup A] [inst_4 : Module R A] [inst_5 : StarAddMonoid A] [inst_6 : StarModule R A]
  [inst_7 : Invertible 2] [inst_8 : TopologicalSpace A] [ContinuousSub A] [ContinuousStar A] [ContinuousConstSMul R A],
  Continuous ⇑(skewAdjointPart R)

Defined in: Mathlib.Topology.Algebra.Module.Star
Cited by: 1 results in Mathlib
Foundations: Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Semiring StarMul TrivialStar AddCommGroup Module StarAddMonoid StarModule Invertible TopologicalSpace ContinuousSub ContinuousStar ContinuousConstSMul

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Cites26

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

DFunLike.coestatement · cited by 62,936
TopologicalSpacestatement and proof · cited by 24,529
Modulestatement and proof · cited by 20,661
RingHom.idstatement · cited by 18,349
Semiringstatement and proof · cited by 13,802
AddCommGroupstatement and proof · cited by 12,871
LinearMapstatement · cited by 10,215
AddSubgroupstatement · cited by 3,232
Continuousstatement · cited by 2,592
ContinuousConstSMulstatement and proof · cited by 832
StarModulestatement and proof · cited by 570
Invertiblestatement and proof · cited by 549

Cited by1

Results whose statement or proof uses this declaration.

continuous_decomposeProdAdjointproof · cited by 0