Theorems · Theorem · real analysis
strictConcaveOn_sin_Icc
StrictConcaveOn ℝ (Set.Icc 0 Real.pi) Real.sin
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Real.pistatement and proof · cited by 1,774
- Set.Iccstatement and proof · cited by 1,702
- interiorproof · cited by 714
- derivproof · cited by 676
- Real.sinstatement and proof · cited by 389
- StrictConcaveOnstatement · cited by 85
- interior_Iccproof · cited by 37
- Function.iterate_oneproof · cited by 34
- convex_Iccproof · cited by 29
- Real.deriv_sinproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- Real.lt_sin_mulproof · cited by 1
- Real.le_sin_mulproof · cited by 1