Theorems · Theorem · real analysis
Real.surjOn_tan
Set.SurjOn Real.tan (Set.Ioo (-(Real.pi / 2)) (Real.pi / 2)) Set.univ
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Set.univstatement · cited by 3,945
- Real.pistatement and proof · cited by 1,774
- Set.Ioostatement · cited by 1,214
- Set.SurjOnstatement · cited by 186
- Real.tanstatement · cited by 100
- Set.nonempty_Iooproof · cited by 23
- Real.pi_div_two_posproof · cited by 22
- neg_lt_selfproof · cited by 7
- Order.IsPredPrelimit.of_denseproof · cited by 3
- ContinuousOn.surjOn_of_tendstoproof · cited by 2
- Real.tendsto_tan_neg_pi_div_twoproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Real.tan_surjectiveproof · cited by 0
- Real.image_tan_Iooproof · cited by 0