Theorems · Theorem · global analysis
contDiff_norm_sq
∀ (𝕜 : Type u_1) {E : Type u_2} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup E] [InnerProductSpace 𝕜 E]
[inst : NormedSpace ℝ E] {n : WithTop ℕ∞}, ContDiff ℝ n fun x => ‖x‖ ^ 2- Cited by
- 5 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldproof · cited by 8,742
- Norm.normstatement and proof · cited by 5,413
- ENatstatement and proof · cited by 4,985
- WithTopstatement and proof · cited by 3,754
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- Inner.innerproof · cited by 1,089
- ContDiffstatement and proof · cited by 352
Cited by5
Results whose statement or proof uses this declaration.
- contDiff_stereoInvFunAuxproof · cited by 2
- OpenPartialHomeomorph.contDiff_univUnitBallproof · cited by 2
- ContDiffWithinAt.norm_sqproof · cited by 2
- OpenPartialHomeomorph.contDiffOn_univUnitBall_symmproof · cited by 1
- ContDiff.norm_sqproof · cited by 0