Theorems · Definition · real analysis
NNReal.agm
NNReal → NNReal → NNReal
The arithmetic-geometric mean of two NNReals, defined as the infimum of arithmetic means.
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRealstatement and proof · cited by 4,310
- iInfproof · cited by 1,690
- NNReal.agmSequencesproof · cited by 25
Cited by20
Results whose statement or proof uses this declaration.
- NNReal.agm_commstatement · cited by 5
- NNReal.agm_eq_agm_agmSequences_fst_agmSequences_sndstatement and proof · cited by 3
- NNReal.agm_eq_ciSupstatement · cited by 3
- NNReal.agm_le_agmSequences_sndstatement · cited by 2
- NNReal.min_le_agmstatement and proof · cited by 2
- NNReal.tendsto_agmSequences_snd_agmstatement · cited by 2
- NNReal.agmSequences_fst_le_agmstatement · cited by 2
- NNReal.agmSequences_fst_lt_agm_of_pos_of_nestatement and proof · cited by 1
- NNReal.agm_le_maxstatement and proof · cited by 1
- NNReal.agm_lt_agmSequences_snd_of_nestatement and proof · cited by 1
- NNReal.agm_zero_leftstatement · cited by 1
- NNReal.agm_eq_agm_gm_amstatement · cited by 0