Theorems · Theorem · real analysis
ENNReal.exists_nat_pos_inv_mul_lt
∀ {a b : ENNReal}, a ≠ ⊤ → b ≠ 0 → ∃ n > 0, (↑n)⁻¹ * a < b- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 141 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- ENNReal.div_eq_inv_mulproof · cited by 18
- ENNReal.exists_nat_pos_mul_gtproof · cited by 2
- ENNReal.div_lt_of_lt_mul'proof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- ENNReal.exists_nnreal_pos_mul_ltproof · cited by 3