Theorems · Theorem · functional analysis
ContinuousMap.continuous_realToRCLike
∀ (X : Type u_1) (𝕜 : Type u_2) [inst : TopologicalSpace X] [inst_1 : RCLike 𝕜], Continuous (ContinuousMap.realToRCLike 𝕜)
- Defined in
- Mathlib.Analysis.RCLike.ContinuousMap
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceRCLike
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Cites9
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
- Continuousstatement · cited by 2,592
- ContinuousMapstatement · cited by 2,491
- RCLike.ofRealproof · cited by 350
- continuous_algebraMapproof · cited by 29
- ContinuousMap.realToRCLikestatement · cited by 18
- ContinuousMap.continuous_postcompproof · cited by 9
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