Theorems · Theorem · global analysis
contDiff_inner
∀ {𝕜 : Type u_1} {E : Type u_2} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup E] [inst_2 : InnerProductSpace 𝕜 E]
[inst_3 : NormedSpace ℝ E] {n : WithTop ℕ∞}, ContDiff ℝ n fun p => inner 𝕜 p.1 p.2- Cited by
- 2 results in Mathlib
- Foundations
- Depth 199 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.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- 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.innerstatement · cited by 1,089
- ContDiffstatement · cited by 352
- IsBoundedBilinearMap.contDiffproof · cited by 19
- isBoundedBilinearMap_innerproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- contDiffAt_innerproof · cited by 1
- ContDiff.innerproof · cited by 1