Theorems · Theorem · real analysis
NNReal.agmSequences_fst_lt_snd_of_ne
∀ {x y : NNReal}, x ≠ y → ∀ (n m : ℕ), (x.agmSequences y n).1 < (x.agmSequences y m).2- Cited by
- 2 results in Mathlib
- Foundations
- Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- LT.lt.neproof · cited by 872
- LE.le.trans_ltproof · cited by 795
- LT.lt.trans_leproof · cited by 678
- le_totalproof · cited by 294
- NNReal.agmSequencesstatement and proof · cited by 25
- NNReal.agmSequences_fst_monotoneproof · cited by 5
- NNReal.agmSequences_snd_antitoneproof · cited by 3
- NNReal.agmSequences_succ'proof · cited by 3
- NNReal.sqrt_mul_lt_half_add_of_neproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- NNReal.agmSequences_fst_lt_agm_of_pos_of_neproof · cited by 1
- NNReal.agm_lt_agmSequences_snd_of_neproof · cited by 1