Theorems · Theorem · real analysis
AbsolutelyContinuousOnInterval.neg
∀ {F : Type u_2} [inst : SeminormedAddCommGroup F] {a b : ℝ} {f : ℝ → F},
AbsolutelyContinuousOnInterval f a b → AbsolutelyContinuousOnInterval (-f) a b- Cited by
- 2 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedAddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Finset.sumproof · cited by 5,195
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- Finset.sum_congrproof · cited by 2,323
- Dist.distproof · cited by 1,539
- Finset.rangeproof · cited by 1,341
- dist_nonnegproof · cited by 126
- Finset.sum_nonnegproof · cited by 91
- AbsolutelyContinuousOnIntervalstatement and proof · cited by 31
- squeeze_zeroproof · cited by 16
- dist_neg_negproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- AbsolutelyContinuousOnInterval.subproof · cited by 2
- AbsolutelyContinuousOnInterval.fun_negproof · cited by 0