Theorems · Theorem · real analysis
EReal.mul_div_cancel
∀ {a b : EReal}, b ≠ ⊥ → b ≠ ⊤ → b ≠ 0 → b * (a / b) = a- Defined in
- Mathlib.Data.EReal.Inv
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.div_mul_cancelproof · cited by 2
Cited by9
Results whose statement or proof uses this declaration.
- EReal.le_div_iff_mul_leproof · cited by 6
- EReal.div_le_iff_le_mulproof · cited by 6
- EReal.strictMono_div_right_of_posproof · cited by 5
- EReal.div_eq_iffproof · cited by 3
- EReal.div_lt_iffproof · cited by 2
- EReal.lt_div_iffproof · cited by 2
- Monotone.linearGrowthInf_comp_mulproof · cited by 1
- Monotone.linearGrowthSup_comp_mulproof · cited by 1
- EReal.strictAnti_div_right_of_negproof · cited by 1