Theorems · Theorem · global analysis
AffineMap.contDiff_lineMap_uncurry
∀ {𝕜 : Type u_1} {V : Type u_2} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAddCommGroup V]
[inst_2 : NormedSpace 𝕜 V] {n : WithTop ℕ∞}, ContDiff 𝕜 n fun pqc => (AffineMap.lineMap pqc.1 pqc.2.1) pqc.2.2AffineMap.lineMap is smooth in all three arguments.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- 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
- AffineMapstatement · cited by 674
- ContDiffstatement and proof · cited by 352
- AffineMap.lineMapstatement · cited by 254
- contDiff_idproof · cited by 40
- contDiff_constproof · cited by 36
- AffineMap.lineMap_apply_moduleproof · cited by 16
Cited by5
Results whose statement or proof uses this declaration.
- Convex.curveIntegral_segment_add_eq_of_hasFDerivWithinAt_symmetricproof · cited by 1
- ContDiffOn.lineMapproof · cited by 0
- ContDiffAt.lineMapproof · cited by 0
- ContDiff.lineMapproof · cited by 0
- AffineMap.contDiff_lineMapproof · cited by 0