Theorems · Theorem · real analysis
ENNReal.coe_ne_top
∀ {r : NNReal}, ↑r ≠ ⊤- Defined in
- Mathlib.Data.ENNReal.Basic
- Cited by
- 100 results in Mathlib
- Foundations
- Depth 99 from the axioms, rests on 1,963 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement · cited by 9,879
- Top.topstatement · cited by 9,680
- NNRealstatement and proof · cited by 4,310
- ENNReal.ofNNRealstatement · cited by 1,279
- WithTop.coe_ne_topproof · cited by 43
Cited by101
Results whose statement or proof uses this declaration.
- ENNReal.one_ne_topproof · cited by 65
- ENNReal.ofReal_ne_topproof · cited by 34
- LipschitzWith.uniformContinuousproof · cited by 33
- ENNReal.zero_ne_topproof · cited by 30
- MeasureTheory.eLpNorm_one_eq_lintegral_enormproof · cited by 16
- ENNReal.le_div_iff_mul_leproof · cited by 15
- ENNReal.tsum_coe_ne_top_iff_summableproof · cited by 11
- MeasureTheory.SimpleFunc.integrable_iffproof · cited by 8
- Dilation.antilipschitzproof · cited by 6
- AntilipschitzWith.isBounded_preimageproof · cited by 6
- PiLp.nnnorm_singleproof · cited by 4
- Asymptotics.isLittleOTVS_oneproof · cited by 4