Theorems · Theorem · field theory
Real.zero_lt_one
0 < 1
- Defined in
- Mathlib.Data.Real.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- zero_lt_oneproof · cited by 598
- Rat.cast_oneproof · cited by 52
- Rat.cast_zeroproof · cited by 29
- Real.ofCauchy_zeroproof · cited by 2
- Real.ofCauchy_oneproof · cited by 2
- Real.ratCast_ltproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- Real.monotoneOn_posLogproof · cited by 2
- UpperHalfPlane.subset_verticalStrip_of_isCompactproof · cited by 2
- summableLocallyUniformlyOn_iteratedDerivWithin_smul_cexpproof · cited by 2
- MeasureTheory.tendsto_integral_meas_thickening_leproof · cited by 1
- Int.Matrix.one_le_norm_A_of_ne_zeroproof · cited by 1