Theorems · Theorem · functional analysis
NonUnitalStarAlgHom.continuous_realContinuousMapZeroOfNNReal
∀ {X : Type u_1} [inst : TopologicalSpace X] [inst_1 : Zero X] {A : Type u_2} [inst_2 : NonUnitalRing A]
[inst_3 : StarRing A] [inst_4 : Module ℝ A] [inst_5 : TopologicalSpace A] [IsSemitopologicalRing A]
(φ : ContinuousMapZero X NNReal →⋆ₙₐ[NNReal] A), Continuous ⇑φ → Continuous ⇑φ.realContinuousMapZeroOfNNReal- Cited by
- 0 results in Mathlib
- Foundations
- Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
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
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- NNRealstatement and proof · cited by 4,310
- Continuousstatement and proof · cited by 2,592
- StarRingstatement and proof · cited by 1,686
- NonUnitalRingstatement and proof · cited by 422
- continuous_id'proof · cited by 295
- NonUnitalStarAlgHomstatement and proof · cited by 208
- Continuous.comp'proof · cited by 184
- ContinuousMapZerostatement and proof · cited by 167
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