Theorems · Theorem · complex analysis
Real.exp_ne_zero
∀ (x : ℝ), Real.exp x ≠ 0
- Defined in
- Mathlib.Analysis.Complex.Exponential
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 146 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.
- Realstatement and proof · cited by 25,697
- Complex.ofRealproof · cited by 1,654
- Real.expstatement and proof · cited by 871
- Complex.ofReal_injproof · cited by 38
- Complex.exp_ne_zeroproof · cited by 19
- Complex.ofReal_exp_ofReal_reproof · cited by 3
Cited by7
Results whose statement or proof uses this declaration.
- Real.isBigO_exp_comp_exp_compproof · cited by 2
- NumberField.mixedEmbedding.fundamentalCone.norm_expMapBasis_ne_zeroproof · cited by 1
- isLittleO_exp_mul_rpow_of_ltproof · cited by 1
- tprod_one_add_ne_zero_of_summableproof · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.prod_deriv_expMap_singleproof · cited by 1
- norm_jacobiTheta_sub_one_leproof · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.logMap_expMapBasisproof · cited by 0