Theorems · Theorem · real analysis
strictConvexOn_exp
StrictConvexOn ℝ Set.univ Real.exp
Real.exp is strictly convex on the whole real line.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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.univstatement and proof · cited by 3,945
- mul_oneproof · cited by 3,885
- add_zeroproof · cited by 2,707
- Nat.cast_oneproof · cited by 2,501
- le_reflproof · cited by 2,061
- Nat.cast_zeroproof · cited by 1,870
- LT.lt.ne'proof · cited by 1,417
- pow_oneproof · cited by 894
- LT.lt.neproof · cited by 872
- Real.expstatement and proof · cited by 871
- lt_of_not_geproof · cited by 374
Cited by2
Results whose statement or proof uses this declaration.
- convexOn_expproof · cited by 5
- Real.geom_mean_eq_arith_mean_weighted_iff_of_pos'proof · cited by 4