Theorems · Theorem · order theory
EReal.toENNReal_eq_zero_iff
∀ {x : EReal}, x.toENNReal = 0 ↔ x ≤ 0- Defined in
- Mathlib.Data.EReal.Basic
- 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- ENNRealstatement · cited by 9,879
- Top.topproof · cited by 9,680
- Bot.botproof · cited by 4,720
- ENNReal.ofRealproof · cited by 863
- ERealstatement and proof · cited by 793
- Real.toERealproof · cited by 303
- EReal.recproof · cited by 57
- ENNReal.ofReal_zeroproof · cited by 56
- EReal.toRealproof · cited by 45
- EReal.toENNRealstatement · cited by 32
Cited by1
Results whose statement or proof uses this declaration.
- EReal.toENNReal_ne_zero_iffproof · cited by 1