Theorems · Theorem · functional analysis
ContinuousMap.realToRCLike_star
∀ {X : Type u_1} (𝕜 : Type u_2) [inst : TopologicalSpace X] [inst_1 : RCLike 𝕜] (f : C(X, ℝ)),
ContinuousMap.realToRCLike 𝕜 (star f) = star (ContinuousMap.realToRCLike 𝕜 f)- Defined in
- Mathlib.Analysis.RCLike.ContinuousMap
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceRCLike
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- RCLikestatement and proof · cited by 2,829
- ContinuousMapstatement and proof · cited by 2,491
- Star.starstatement · cited by 1,082
- StarHomClass.map_starproof · cited by 20
- ContinuousMap.realToRCLikestatement · cited by 18
- ContinuousMap.realToRCLikeStarAlgHomproof · cited by 3
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