Theorems · Theorem · real analysis
EReal.neg_mul
∀ (x y : EReal), -x * y = -(x * y)
- Defined in
- Mathlib.Data.EReal.Operations
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- Top.topproof · cited by 9,680
- Bot.botproof · cited by 4,720
- MulZeroClass.mul_zeroproof · cited by 2,091
- MulZeroClass.zero_mulproof · cited by 1,625
- neg_negproof · cited by 960
- ERealstatement and proof · cited by 793
- neg_mulproof · cited by 654
- neg_zeroproof · cited by 542
- Real.toERealproof · cited by 303
- neg_neg_of_posproof · cited by 227
- EReal.coe_negproof · cited by 10
Cited by3
Results whose statement or proof uses this declaration.
- EReal.mul_eq_botproof · cited by 1
- ExpGrowth.expGrowthSup_invproof · cited by 0
- ExpGrowth.expGrowthInf_invproof · cited by 0