Theorems · Theorem · real analysis
ENNReal.natCast_ne_top
∀ (n : ℕ), ↑n ≠ ⊤
- Defined in
- Mathlib.Data.ENNReal.Basic
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- WithTop.natCast_ne_topproof · cited by 2
Cited by11
Results whose statement or proof uses this declaration.
- ENNReal.ofNat_ne_topproof · cited by 29
- ENNReal.iUnion_Iic_coe_natproof · cited by 3
- MeasureTheory.ae_eq_of_ae_le_of_lintegral_leproof · cited by 3
- NumberField.mixedEmbedding.fundamentalCone.volume_normLeOneproof · cited by 2
- Besicovitch.exists_disjoint_closedBall_covering_ae_of_finiteMeasure_auxproof · cited by 1
- PiLp.norm_eq_of_natproof · cited by 1
- MeasureTheory.OuterMeasure.IsMetric.borel_le_caratheodoryproof · cited by 1
- bergelson'proof · cited by 1
- WithLp.prod_norm_eq_of_natproof · cited by 1
- Besicovitch.exist_finset_disjoint_balls_large_measureproof · cited by 1
- uniformity_basis_edist_inv_natproof · cited by 0