Theorems · Theorem · order theory
EReal.coe_ne_bot
∀ (x : ℝ), ↑x ≠ ⊥
- Defined in
- Mathlib.Data.EReal.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Bot.botstatement · cited by 4,720
- LT.lt.ne'proof · cited by 1,417
- ERealstatement · cited by 793
- Real.toERealstatement · cited by 303
- EReal.bot_lt_coeproof · cited by 13
Cited by4
Results whose statement or proof uses this declaration.
- EReal.zero_ne_botproof · cited by 10
- EReal.sub_le_of_le_addproof · cited by 3
- EReal.toENNReal_le_toENNRealproof · cited by 2
- EReal.bot_ne_zeroproof · cited by 0