Theorems · Theorem · real analysis
ENNReal.div_lt_top
∀ {x y : ENNReal}, x ≠ ⊤ → y ≠ 0 → x / y < ⊤- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 134 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
- Ne.lt_topproof · cited by 161
- ENNReal.mul_lt_topproof · cited by 41
- ENNReal.inv_ne_topproof · cited by 12
Cited by4
Results whose statement or proof uses this declaration.
- ENNReal.div_ne_topproof · cited by 4
- ENNReal.exists_nat_pos_mul_gtproof · cited by 2
- MeasureTheory.Submartingale.upcrossings_ae_lt_top'proof · cited by 1
- ENNReal.tendsto_mulproof · cited by 1