Theorems · Theorem · real analysis
CurveIntegrable.fun_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 (fun i => -ω i) γEta-expanded form of CurveIntegrable.neg
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- Foundations
- Depth 245 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement · cited by 15,752
- NormedSpacestatement · cited by 12,499
- ContinuousLinearMapstatement · cited by 5,352
- RCLikestatement · cited by 2,829
- Pathstatement · cited by 318
- CurveIntegrablestatement · cited by 26
- CurveIntegrable.negproof · cited by 4
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