Theorems · Theorem · real analysis
EReal.div_eq_iff
∀ {a b c : EReal}, b ≠ ⊥ → b ≠ ⊤ → b ≠ 0 → (c / b = a ↔ c = a * b)- Defined in
- Mathlib.Data.EReal.Inv
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Bot.botstatement and proof · cited by 4,720
- mul_commproof · cited by 2,262
- ERealstatement and proof · cited by 793
- EReal.mul_divproof · cited by 10
- EReal.mul_div_cancelproof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- Dynamics.coverEntropyEntourage_le_log_coverMincard_divproof · cited by 2
- ExpGrowth.expGrowthSup_powproof · cited by 1
- ExpGrowth.expGrowthInf_powproof · cited by 0