Theorems · Theorem · real analysis
Real.contDiffAt_tan
∀ {n : WithTop ℕ∞} {x : ℝ}, ContDiffAt ℝ n Real.tan x ↔ Real.cos x ≠ 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- ENatstatement and proof · cited by 4,985
- WithTopstatement and proof · cited by 3,754
- Nat.cast_zeroproof · cited by 1,870
- Complex.ofRealproof · cited by 1,654
- Real.cosstatement and proof · cited by 424
- Complex.cosproof · cited by 279
- ContDiffAtstatement and proof · cited by 262
- Real.tanstatement and proof · cited by 100
- ContDiffAt.continuousAtproof · cited by 9
- ContDiffAt.real_of_complexproof · cited by 2
- Real.continuousAt_tanproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Real.contDiff_arctanproof · cited by 4