Theorems · Theorem · real analysis
ENNReal.lt_top_of_mul_ne_top_left
∀ {a b : ENNReal}, a * b ≠ ⊤ → b ≠ 0 → a < ⊤- Defined in
- Mathlib.Data.ENNReal.Operations
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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_top_iff_ne_topproof · cited by 95
- ENNReal.mul_eq_topproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- ENNReal.mul_lt_top_iffproof · cited by 4
- ENNReal.lt_top_of_mul_ne_top_rightproof · cited by 2