Theorems · Theorem · functional analysis
WithLp.prod_norm_eq_idemFst_of_L1
∀ {α : Type u_2} {β : Type u_3} [inst : SeminormedAddCommGroup α] [inst_1 : SeminormedAddCommGroup β]
(x : WithLp 1 (α × β)), ‖x‖ = ‖WithLp.idemFst x‖ + ‖WithLp.idemSnd x‖- Defined in
- Mathlib.Analysis.Normed.Lp.ProdLp
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 225 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
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
- Realstatement and proof · cited by 25,697
- ENNRealstatement · cited by 9,879
- Norm.normstatement and proof · cited by 5,413
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- zero_lt_oneproof · cited by 598
- WithLpstatement and proof · cited by 345
- div_selfproof · cited by 237
- Real.rpow_oneproof · cited by 114
- AddMonoid.Endstatement · cited by 64
- ENNReal.toReal_oneproof · cited by 12
- WithLp.idemFststatement and proof · cited by 7
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