Theorems · Theorem · functional analysis
ContinuousLinearEquiv.smulLeft_apply_toLinearEquiv
∀ {R₁ : Type u_1} [inst : Semiring R₁] {M₁ : Type u_4} [inst_1 : TopologicalSpace M₁] [inst_2 : AddCommMonoid M₁]
[inst_3 : Module R₁ M₁] {G : Type u_9} [inst_4 : Group G] [inst_5 : DistribMulAction G M₁]
[inst_6 : ContinuousConstSMul G M₁] [inst_7 : SMulCommClass G R₁ M₁] (g : G),
↑(ContinuousLinearEquiv.smulLeft g) = DistribMulAction.toLinearEquiv R₁ M₁ g- Defined in
- Mathlib.Topology.Algebra.Module.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
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- DFunLike.coestatement and proof · 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
- AddCommMonoidstatement and proof · cited by 12,281
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement · cited by 3,629
- LinearEquivstatement · cited by 3,317
- SMulCommClassstatement and proof · cited by 1,927
- ContinuousConstSMulstatement and proof · cited by 832
- ContinuousLinearEquivstatement · cited by 743
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