Theorems · Theorem · complex analysis
Complex.exp_conj
∀ (x : ℂ), Complex.exp ((starRingEnd ℂ) x) = (starRingEnd ℂ) (Complex.exp x)
- Defined in
- Mathlib.Analysis.Complex.Exponential
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHomstatement · cited by 10,189
- Complexstatement and proof · cited by 5,565
- Finset.sumproof · cited by 5,195
- Finset.sum_congrproof · cited by 2,323
- Complex.ofRealproof · cited by 1,654
- Finset.rangeproof · cited by 1,341
- starRingEndstatement and proof · cited by 671
- Nat.factorialproof · cited by 616
- Complex.expstatement · cited by 612
- map_powproof · cited by 503
- map_sumproof · cited by 455
Cited by4
Results whose statement or proof uses this declaration.
- Complex.cosh_conjproof · cited by 3
- Complex.sinh_conjproof · cited by 3
- Complex.ofReal_exp_ofReal_reproof · cited by 3
- Complex.GammaIntegral_conjproof · cited by 1