Theorems · Theorem · functional analysis
ContinuousLinearEquiv.restrictScalars_toLinearEquiv
∀ (R : Type u_1) {S : Type u_2} {M : Type u_3} [inst : Semiring R] [inst_1 : Semiring S] [inst_2 : AddCommMonoid M]
[inst_3 : Module R M] [inst_4 : Module S M] [inst_5 : TopologicalSpace M] [inst_6 : LinearMap.CompatibleSMul M M R S]
(f : M ≃L[S] M), ↑(ContinuousLinearEquiv.restrictScalars R f) = LinearEquiv.restrictScalars R ↑f- Defined in
- Mathlib.Topology.Algebra.Module.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- LinearEquivstatement · cited by 3,317
- ContinuousLinearEquivstatement and proof · cited by 743
- ContinuousLinearEquiv.toLinearEquivstatement and proof · cited by 118
- LinearMap.CompatibleSMulstatement and proof · cited by 86
- LinearEquiv.restrictScalarsstatement · cited by 46
- ContinuousLinearEquiv.restrictScalarsstatement and proof · cited by 3
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