Theorems · Theorem · measure theory
IntervalIntegrable.symm_iff
∀ {ε : Type u_3} [inst : TopologicalSpace ε] [inst_1 : ENormedAddMonoid ε] {f : ℝ → ε} {a b : ℝ}
{μ : MeasureTheory.Measure ℝ}, IntervalIntegrable f μ a b ↔ IntervalIntegrable f μ b a- Cited by
- 2 results in Mathlib
- Foundations
- Depth 196 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
- TopologicalSpacestatement and proof · cited by 24,529
- MeasureTheory.Measurestatement and proof · cited by 10,939
- IntervalIntegrablestatement · cited by 316
- ENormedAddMonoidstatement and proof · cited by 67
- IntervalIntegrable.symmproof · cited by 24
Cited by2
Results whose statement or proof uses this declaration.
- intervalIntegral.integrable_deriv_smul_comp_iff_of_deriv_nonnegproof · cited by 1
- intervalIntegral.integrable_deriv_smul_comp_iff_of_deriv_nonposproof · cited by 1