Theorems · Theorem · real analysis
CurveIntegrable.neg
∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] {a b : E} {ω : E → E →L[𝕜] F}
{γ : Path a b}, CurveIntegrable ω γ → CurveIntegrable (-ω) γ- Cited by
- 4 results in Mathlib
- Foundations
- Depth 244 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- ContinuousLinearMapstatement and proof · cited by 5,352
- RCLikestatement and proof · cited by 2,829
- MeasureTheory.MeasureSpace.volumeproof · cited by 1,323
- Pathstatement and proof · cited by 318
- IntervalIntegrableproof · cited by 316
- CurveIntegrablestatement and proof · cited by 26
- IntervalIntegrable.negproof · cited by 6
- curveIntegralFun_negproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- curveIntegrable_neg_iffproof · cited by 1
- curveIntegral_subproof · cited by 1
- CurveIntegrable.subproof · cited by 0
- CurveIntegrable.fun_negproof · cited by 0