Theorems · Theorem · complex analysis
Complex.exp_sub
∀ (x y : ℂ), Complex.exp (x - y) = Complex.exp x / Complex.exp y
- Defined in
- Mathlib.Analysis.Complex.Exponential
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 147 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.
- Complexstatement and proof · cited by 5,565
- sub_eq_add_negproof · cited by 1,023
- div_eq_mul_invproof · cited by 715
- Complex.expstatement and proof · cited by 612
- Complex.exp_addproof · cited by 55
- Complex.exp_negproof · cited by 15
Cited by5
Results whose statement or proof uses this declaration.
- Complex.cos_eq_zero_iffproof · cited by 5
- Complex.logDeriv_expproof · cited by 2
- Complex.exp_eq_exp_iff_exp_sub_eq_oneproof · cited by 1
- Complex.arctan_tanproof · cited by 1
- circleMap_zero_divproof · cited by 0