Theorems · Theorem · functional analysis
WithLp.idemFst_add_idemSnd
∀ {α : Type u_2} {β : Type u_3} [inst : SeminormedAddCommGroup α] [inst_1 : SeminormedAddCommGroup β] {p : ENNReal},
WithLp.idemFst + WithLp.idemSnd = 1- Defined in
- Mathlib.Analysis.Normed.Lp.ProdLp
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- ENNRealstatement and proof · cited by 9,879
- add_zeroproof · cited by 2,707
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- zero_addproof · cited by 2,366
- WithLpstatement and proof · cited by 345
- AddMonoidHom.extproof · cited by 149
- WithLp.fstproof · cited by 76
- WithLp.sndproof · cited by 76
- AddMonoid.Endstatement · cited by 64
- WithLp.idemFststatement and proof · cited by 7
- WithLp.idemSndstatement and proof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- WithLp.idemFst_complproof · cited by 0
- WithLp.idemSnd_complproof · cited by 0