Theorems · Theorem · functional analysis

IsometryEquiv.withLpProdUnique_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 : WithLp p (α × β)),
  (IsometryEquiv.withLpProdUnique p α β) a = a.fst

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
Assumes: Fact PseudoEMetricSpace PseudoEMetricSpace Unique

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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 and proof · cited by 345
IsometryEquivstatement · cited by 177
WithLp.fststatement · cited by 76
IsometryEquiv.withLpProdUniquestatement and proof · cited by 3

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