Theorems · Theorem · real analysis
Real.strictMonoOn_sin
StrictMonoOn Real.sin (Set.Icc (-(Real.pi / 2)) (Real.pi / 2))
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.pistatement and proof · cited by 1,774
- Set.Iccstatement and proof · cited by 1,702
- Real.sinstatement · cited by 389
- StrictMonoOnstatement · cited by 194
- Real.sin_lt_sin_of_lt_of_le_pi_div_twoproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- Real.sinOrderIsoproof · cited by 9
- Real.sin_arctan_strictMonoproof · cited by 5
- Real.injOn_sinproof · cited by 3
- Real.sin_le_sin_of_le_of_le_pi_div_twoproof · cited by 0
- Real.monotoneOn_sinproof · cited by 0