Theorems · Theorem · real analysis
EReal.mul_top_of_neg
∀ {x : EReal}, x < 0 → x * ⊤ = ⊥- Defined in
- Mathlib.Data.EReal.Operations
- Cited by
- 1 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_neg'proof · cited by 4
- EReal.coe_mul_top_of_negproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- EReal.top_mul_of_negproof · cited by 4