Theorems · Theorem · real analysis
curveIntegralFun_refl
∀ {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] (ω : E → E →L[𝕜] F) (a : E),
curveIntegralFun ω (Path.refl a) = 0- Cited by
- 2 results in Mathlib
- Foundations
- Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- 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
- map_zeroproof · cited by 1,614
- unitIntervalproof · cited by 607
- Path.reflstatement and proof · cited by 36
- curveIntegralFunstatement · cited by 33
- curveIntegralFun_def'proof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- curveIntegral_reflproof · cited by 2
- CurveIntegrable.reflproof · cited by 0