Theorems · Theorem · real analysis
Real.image_tan_Ioo
Real.tan '' Set.Ioo (-(Real.pi / 2)) (Real.pi / 2) = Set.univ
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- Set.imagestatement · cited by 5,609
- Set.univstatement · cited by 3,945
- Real.pistatement · cited by 1,774
- Set.Ioostatement · cited by 1,214
- Real.tanstatement · cited by 100
- Set.univ_subset_iffproof · cited by 49
- Real.surjOn_tanproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Real.tanOrderIsoproof · cited by 10