Theorems · Theorem · real analysis
ENNReal.add_rpow_le_rpow_add
∀ {p : ℝ} (a b : ENNReal), 1 ≤ p → a ^ p + b ^ p ≤ (a + b) ^ p- Defined in
- Mathlib.Analysis.MeanInequalitiesPow
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 208 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- ENNRealstatement and proof · cited by 9,879
- Top.topproof · cited by 9,680
- NNRealproof · cited by 4,310
- Nat.cast_oneproof · cited by 2,501
- LT.lt.leproof · cited by 2,189
- ENNReal.ofNNRealproof · cited by 1,279
- lt_of_lt_of_leproof · cited by 438
- le_topproof · cited by 411
- ENNReal.coe_le_coeproof · cited by 73
- ENNReal.coe_rpow_of_nonnegproof · cited by 34
- ENNReal.add_ne_topproof · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- ENNReal.rpow_add_rpow_le_addproof · cited by 1