Theorems · Theorem · real analysis
EReal.mul_le_of_forall_lt_of_nonneg
∀ {a b c : EReal}, 0 ≤ a → 0 ≤ c → (∀ a' ∈ Set.Ioo 0 a, ∀ b' ∈ Set.Ioo 0 b, a' * b' ≤ c) → a * b ≤ c- Defined in
- Mathlib.Data.EReal.Inv
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 140 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- LE.le.transproof · cited by 3,151
- LT.lt.leproof · cited by 2,189
- Set.Ioostatement and proof · cited by 1,214
- ERealstatement and proof · cited by 793
- lt_or_geproof · cited by 182
- le_of_forall_lt_imp_le_of_denseproof · cited by 14
Cited by4
Results whose statement or proof uses this declaration.
- LinearGrowth.le_linearGrowthInf_compproof · cited by 2
- Monotone.le_linearGrowthSup_compproof · cited by 2
- EReal.le_liminf_mulproof · cited by 0
- EReal.le_limsup_mulproof · cited by 0