Theorems · Theorem · real analysis
ENNReal.le_of_forall_pos_nnreal_lt
∀ {x y : ENNReal}, (∀ (r : NNReal), 0 < r → ↑r < x → ↑r ≤ y) → x ≤ y- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 129 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.
- ENNRealstatement and proof · cited by 9,879
- NNRealstatement and proof · cited by 4,310
- ENNReal.ofNNRealstatement and proof · cited by 1,279
- zero_leproof · cited by 382
- eq_zero_or_posproof · cited by 54
- ENNReal.le_of_forall_nnreal_ltproof · cited by 16
Cited by3
Results whose statement or proof uses this declaration.
- FormalMultilinearSeries.changeOrigin_radiusproof · cited by 3
- spectrum.limsup_pow_nnnorm_pow_one_div_le_spectralRadiusproof · cited by 1
- HasFPowerSeriesOnBall.r_eq_top_of_existsproof · cited by 1