Theorems · Theorem · real analysis
EReal.mul_bot_of_pos
∀ {x : EReal}, 0 < x → x * ⊥ = ⊥- Defined in
- Mathlib.Data.EReal.Operations
- Cited by
- 7 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.topproof · cited by 9,680
- Bot.botstatement and proof · cited by 4,720
- ERealstatement and proof · cited by 793
- Real.toERealproof · cited by 303
- not_lt_botproof · cited by 19
- EReal.coe_posproof · cited by 7
- EReal.coe_mul_bot_of_posproof · cited by 5
Cited by7
Results whose statement or proof uses this declaration.
- ENNReal.log_rpowproof · cited by 4
- EReal.bot_mul_of_posproof · cited by 2
- Monotone.linearGrowthInf_compproof · cited by 2
- Monotone.le_linearGrowthSup_compproof · cited by 2
- Monotone.linearGrowthSup_compproof · cited by 2
- EReal.left_distrib_of_nonneg_of_ne_topproof · cited by 2
- EReal.mul_invproof · cited by 1