Theorems · Theorem · real analysis
ENNReal.exists_nat_pos_mul_gt
∀ {a b : ENNReal}, a ≠ 0 → b ≠ ⊤ → ∃ n > 0, b < ↑n * a- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 137 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- LT.lt.neproof · cited by 872
- Nat.cast_posproof · cited by 113
- LT.lt.posproof · cited by 30
- ENNReal.div_lt_iffproof · cited by 10
- ENNReal.exists_nat_gtproof · cited by 5
- ENNReal.div_lt_topproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- ENNReal.exists_nat_mul_gtproof · cited by 3
- ENNReal.exists_nat_pos_inv_mul_ltproof · cited by 1