Theorems · Theorem · complex analysis
Complex.cosh_conj
∀ (x : ℂ), Complex.cosh ((starRingEnd ℂ) x) = (starRingEnd ℂ) (Complex.cosh x)
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 144 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- map_addproof · cited by 964
- starRingEndstatement and proof · cited by 671
- Complex.expproof · cited by 612
- map_negproof · cited by 378
- Complex.coshstatement and proof · cited by 118
- map_div₀proof · cited by 98
- map_ofNatproof · cited by 73
- Complex.exp_conjproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- Complex.cos_conjproof · cited by 3
- Complex.ofReal_cosh_ofReal_reproof · cited by 2
- Complex.tanh_conjproof · cited by 1