Theorems · Definition · real analysis
Real.tanOrderIso
↑(Set.Ioo (-(Real.pi / 2)) (Real.pi / 2)) ≃o ℝ
Real.tan as an OrderIso between (-(π / 2), π / 2) and ℝ.
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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.Elemstatement · cited by 7,166
- Set.imageproof · cited by 5,609
- Set.univproof · cited by 3,945
- Real.pistatement and proof · cited by 1,774
- Set.Ioostatement and proof · cited by 1,214
- OrderIsostatement · cited by 874
- Real.tanproof · cited by 100
- OrderIso.transproof · cited by 31
- OrderIso.setCongrproof · cited by 10
- Real.strictMonoOn_tanproof · cited by 2
Cited by11
Results whose statement or proof uses this declaration.
- Real.arctanproof · cited by 111
- Real.tan_arctanproof · cited by 11
- Real.arctan_mem_Iooproof · cited by 7
- Real.arctan_strictMonoproof · cited by 5
- Real.arctan_tanproof · cited by 4
- Real.continuous_arctanproof · cited by 3
- Real.arctan_inv_of_posproof · cited by 3
- Real.tendsto_arctan_atBotproof · cited by 2
- Real.tendsto_arctan_atTopproof · cited by 2
- Real.arctan_add_arctan_lt_pi_div_twoproof · cited by 1
- Real.range_arctanproof · cited by 0