Theorems · Theorem · order theory
EReal.toENNReal_of_nonpos
∀ {x : EReal}, x ≤ 0 → x.toENNReal = 0- Defined in
- Mathlib.Data.EReal.Basic
- Cited by
- 5 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.
- ENNRealstatement and proof · cited by 9,879
- Top.topproof · cited by 9,680
- ERealstatement and proof · cited by 793
- top_le_iffproof · cited by 175
- EReal.toENNRealstatement · cited by 32
- EReal.zero_ne_topproof · cited by 11
- ENNReal.ofReal_of_nonposproof · cited by 9
- EReal.toReal_nonposproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- EReal.toENNReal_mulproof · cited by 1
- EReal.toENNReal_subproof · cited by 0
- EReal.toENNReal_botproof · cited by 0
- EReal.toENNReal_zeroproof · cited by 0
- EReal.coe_toENNReal_eq_maxproof · cited by 0