Theorems · Theorem · real analysis
ENNReal.mul_le_of_forall_lt
∀ {a b c : ENNReal}, (∀ a' < a, ∀ b' < b, a' * b' ≤ c) → a * b ≤ c- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 142 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
- LT.lt.leproof · cited by 2,189
- le_transproof · cited by 985
- le_of_forall_lt_imp_le_of_denseproof · cited by 14
Cited by3
Results whose statement or proof uses this declaration.
- ENNReal.le_mul_of_forall_ltproof · cited by 2
- ENNReal.le_liminf_mulproof · cited by 0
- ENNReal.le_limsup_mulproof · cited by 0