Theorems · Theorem · real analysis
Real.continuousAt_tan
∀ {x : ℝ}, ContinuousAt Real.tan x ↔ Real.cos x ≠ 0- Cited by
- 2 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.
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
- Norm.normproof · cited by 5,413
- ContinuousAtstatement and proof · cited by 697
- Real.cosstatement and proof · cited by 424
- inf_le_leftproof · cited by 286
- Filter.Tendsto.mono_leftproof · cited by 125
- ContinuousAt.tendstoproof · cited by 103
- Real.tanstatement and proof · cited by 100
- HasDerivAt.continuousAtproof · cited by 28
- ContinuousAt.normproof · cited by 10
- not_tendsto_nhds_of_tendsto_atTopproof · cited by 7
- Real.hasDerivAt_tanproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- Real.differentiableAt_tanproof · cited by 1
- Real.contDiffAt_tanproof · cited by 1