Theorems · Theorem · real analysis
EReal.le_div_iff_mul_le
∀ {a b c : EReal}, b > 0 → b ≠ ⊤ → (a ≤ c / b ↔ a * b ≤ c)- Defined in
- Mathlib.Data.EReal.Inv
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 137 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- mul_commproof · cited by 2,262
- LT.lt.ne'proof · cited by 1,417
- ERealstatement and proof · cited by 793
- StrictMono.le_iff_leproof · cited by 104
- ne_bot_of_gtproof · cited by 18
- EReal.mul_divproof · cited by 10
- EReal.mul_div_cancelproof · cited by 9
- EReal.strictMono_div_right_of_posproof · cited by 5
Cited by6
Results whose statement or proof uses this declaration.
- LinearGrowth.le_linearGrowthInf_iffproof · cited by 3
- LinearGrowth.le_linearGrowthSup_iffproof · cited by 2
- Monotone.le_linearGrowthSup_compproof · cited by 2
- Monotone.linearGrowthInf_comp_leproof · cited by 2
- ExpGrowth.le_expGrowthInf_iffproof · cited by 2
- ExpGrowth.le_expGrowthSup_iffproof · cited by 2