Theorems · Definition · special functions
Real.sinPartialEquiv
PartialEquiv ℝ ℝ
Real.sin and Real.arcsin as a (partial) equivalence from [-(π / 2), (π / 2)] to
[-1, 1]
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Real.piproof · cited by 1,774
- Set.Iccproof · cited by 1,702
- Real.sinproof · cited by 389
- PartialEquivstatement · cited by 335
- Real.arcsinproof · cited by 125
- Real.arcsin_mem_Iccproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Real.arcsin_image_Iccproof · cited by 0