Theorems · Theorem · real analysis
contDiff_prodMk_right
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type uE} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {F : Type uF} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] {n : WithTop ℕ∞}
(e₀ : E), ContDiff 𝕜 n fun f => (e₀, f)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 200 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.
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ENatstatement and proof · cited by 4,985
- WithTopstatement and proof · cited by 3,754
- ContDiffstatement · cited by 352
- contDiff_idproof · cited by 40
- contDiff_constproof · cited by 36
- ContDiff.prodMkproof · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- Convex.curveIntegral_segment_add_eq_of_hasFDerivWithinAt_symmetricproof · cited by 1
- AffineMap.contDiff_lineMapproof · cited by 0