Theorems · Theorem · functional analysis
IsometryEquiv.withLpProdUnique_symm_apply
∀ (p : ENNReal) (α : Type u_2) (β : Type u_3) [hp : Fact (1 ≤ p)] [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β] [inst_2 : Unique β] (a : α), (IsometryEquiv.withLpProdUnique p α β).symm a = WithLp.toLp p (a, default)
- Defined in
- Mathlib.Analysis.Normed.Lp.ProdLp
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 220 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- ENNRealstatement and proof · cited by 9,879
- Factstatement and proof · cited by 2,726
- PseudoEMetricSpacestatement and proof · cited by 1,536
- Uniquestatement and proof · cited by 400
- WithLpstatement · cited by 345
- IsometryEquivstatement · cited by 177
- IsometryEquiv.symmstatement and proof · cited by 75
- IsometryEquiv.withLpProdUniquestatement and proof · cited by 3
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