Theorems · Theorem · real analysis
NNReal.add_rpow_le_rpow_add
∀ {p : ℝ} (a b : NNReal), 1 ≤ p → a ^ p + b ^ p ≤ (a + b) ^ p- Defined in
- Mathlib.Analysis.MeanInequalitiesPow
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NNRealstatement and proof · cited by 4,310
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- add_zeroproof · cited by 2,707
- Nat.cast_oneproof · cited by 2,501
- mul_commproof · cited by 2,262
- le_reflproof · cited by 2,061
- mul_assocproof · cited by 1,667
- LT.lt.ne'proof · cited by 1,417
- div_eq_mul_invproof · cited by 715
- Eq.leproof · cited by 605
Cited by3
Results whose statement or proof uses this declaration.
- NNReal.rpow_add_rpow_le_addproof · cited by 2
- ENNReal.add_rpow_le_rpow_addproof · cited by 1
- Real.add_rpow_le_rpow_addproof · cited by 0