Theorems · Theorem · complex analysis
Complex.ofReal_tanh_ofReal_re
∀ (x : ℝ), ↑(Complex.tanh ↑x).re = Complex.tanh ↑x
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 2 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.
Cites8
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
- Complexstatement and proof · cited by 5,565
- Complex.ofRealstatement and proof · cited by 1,654
- Complex.restatement · cited by 882
- Complex.conj_ofRealproof · cited by 41
- Complex.tanhstatement and proof · cited by 20
- Complex.conj_eq_iff_reproof · cited by 12
- Complex.tanh_conjproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Complex.ofReal_tanhproof · cited by 1
- Complex.tanh_ofReal_improof · cited by 0