Theorems · Theorem · real analysis
NNReal.dist_gm_am_le
∀ {x y : NNReal}, dist (NNReal.sqrt (x * y)) ((x + y) / 2) ≤ dist x y / 2- Cited by
- 1 results in Mathlib
- Foundations
- Depth 127 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites29
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
- NNRealstatement and proof · cited by 4,310
- mul_commproof · cited by 2,262
- LT.lt.leproof · cited by 2,189
- le_reflproof · cited by 2,061
- absproof · cited by 1,814
- Dist.diststatement and proof · cited by 1,539
- add_commproof · cited by 1,535
- NNReal.toRealproof · cited by 1,260
- OrderIsostatement · cited by 874
- not_leproof · cited by 328
Cited by1
Results whose statement or proof uses this declaration.
- NNReal.dist_agmSequences_fst_sndproof · cited by 1