Theorems · Theorem · real analysis
curveIntegralFun_zero
∀ {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} {γ : Path a b},
curveIntegralFun 0 γ = 0- Cited by
- 3 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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 · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- ContinuousLinearMapstatement · cited by 5,352
- RCLikestatement and proof · cited by 2,829
- unitIntervalproof · cited by 607
- Pathstatement and proof · cited by 318
- derivWithinproof · cited by 258
- zero_applyproof · cited by 251
- Path.extendproof · cited by 52
Cited by3
Results whose statement or proof uses this declaration.
- curveIntegral_zeroproof · cited by 1
- CurveIntegrable.zeroproof · cited by 1
- curveIntegralFun_fun_zeroproof · cited by 0