Theorems · Theorem · complex analysis
Complex.contDiffAt_tan
∀ {x : ℂ} {n : WithTop ℕ∞}, ContDiffAt ℂ n Complex.tan x ↔ Complex.cos x ≠ 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- ENatstatement and proof · cited by 4,985
- WithTopstatement and proof · cited by 3,754
- Complex.cosstatement · cited by 279
- ContDiffAtstatement and proof · cited by 262
- ContDiff.contDiffAtproof · cited by 106
- Complex.tanstatement and proof · cited by 77
- Complex.contDiff_cosproof · cited by 9
- Complex.contDiff_sinproof · cited by 9
- ContDiffAt.continuousAtproof · cited by 9
- ContDiffAt.divproof · cited by 3
- Complex.continuousAt_tanproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Real.contDiffAt_tanproof · cited by 1