Theorems · Theorem · functional analysis
ContinuousMap.range_realToRCLike_eq_isSelfAdjoint
∀ (X : Type u_1) (𝕜 : Type u_2) [inst : TopologicalSpace X] [inst_1 : RCLike 𝕜],
Set.range (ContinuousMap.realToRCLike 𝕜) = {f | IsSelfAdjoint f}- Defined in
- Mathlib.Analysis.RCLike.ContinuousMap
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceRCLike
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Set.ofPredstatement and proof · cited by 6,101
- Set.rangestatement and proof · cited by 4,705
- RCLikestatement and proof · cited by 2,829
- ContinuousMapstatement and proof · cited by 2,491
- le_antisymmproof · cited by 2,068
- IsSelfAdjointstatement and proof · cited by 545
- ContinuousMap.realToRCLikestatement and proof · cited by 18
- ContinuousMap.rclikeToRealproof · cited by 6
- ContinuousMap.IsSelfAdjoint.realToRCLike_rclikeToRealproof · cited by 1
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