Theorems · Theorem · real analysis
contDiff_mul
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {n : WithTop ℕ∞} {𝔸 : Type u_3} [inst_1 : NormedRing 𝔸]
[inst_2 : NormedAlgebra 𝕜 𝔸], ContDiff 𝕜 n fun p => 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ENatstatement and proof · cited by 4,985
- WithTopstatement and proof · cited by 3,754
- NormedAlgebrastatement and proof · cited by 1,165
- NormedRingstatement and proof · cited by 924
- ContDiffstatement · cited by 352
- ContinuousLinearMap.mulproof · cited by 63
- IsBoundedBilinearMap.contDiffproof · cited by 19
- ContinuousLinearMap.isBoundedBilinearMapproof · cited by 18
Cited by2
Results whose statement or proof uses this declaration.
- ContDiff.mulproof · cited by 8
- ContDiffWithinAt.mulproof · cited by 6