Theorems · Definition · real analysis
Real.tanPartialHomeomorph
OpenPartialHomeomorph ℝ ℝ
Real.tan as an OpenPartialHomeomorph between (-(π / 2), π / 2) and the whole line.
- Cited by
- 4 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.
Cites10
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
- Set.univproof · cited by 3,945
- Real.piproof · cited by 1,774
- Set.Iooproof · cited by 1,214
- OpenPartialHomeomorphstatement · cited by 664
- Real.arctanproof · cited by 111
- Real.tanproof · cited by 100
- Real.tan_arctanproof · cited by 11
- Real.arctan_mem_Iooproof · cited by 7
- Real.continuousOn_tan_Iooproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- Real.contDiff_arctanproof · cited by 4
- Real.hasStrictDerivAt_arctanproof · cited by 3
- Real.coe_tanPartialHomeomorphstatement · cited by 0
- Real.coe_tanPartialHomeomorph_symmstatement · cited by 0