Theorems · Theorem · real analysis
EReal.mul_bot_of_neg
∀ {x : EReal}, x < 0 → x * ⊥ = ⊤- Defined in
- Mathlib.Data.EReal.Operations
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- Top.topstatement and proof · cited by 9,680
- Bot.botstatement and proof · cited by 4,720
- ERealstatement and proof · cited by 793
- Real.toERealproof · cited by 303
- not_top_ltproof · cited by 17
- EReal.coe_mul_bot_of_negproof · cited by 6
- EReal.coe_neg'proof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- EReal.bot_mul_of_negproof · cited by 2
- EReal.mul_invproof · cited by 1