Theorems · Theorem · general topology
LocallyConstant.toContinuousMapLinearMap_apply
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (R : Type u_3)
[inst_2 : Semiring R] [inst_3 : AddCommMonoid Y] [inst_4 : Module R Y] [inst_5 : ContinuousAdd Y]
[inst_6 : ContinuousConstSMul R Y] (f : LocallyConstant X Y), (LocallyConstant.toContinuousMapLinearMap R) f = ↑f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- LinearMapstatement · cited by 10,215
- ContinuousMapstatement · cited by 2,491
- ContinuousConstSMulstatement and proof · cited by 832
- ContinuousAddstatement and proof · cited by 777
- LocallyConstantstatement and proof · cited by 227
- LocallyConstant.toContinuousMapstatement · cited by 7
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