Theorems · Theorem · functional analysis
LineDeriv.iteratedLineDerivOp_succ_left
∀ {V : Type u_11} {E : Type u_12} [inst : LineDeriv V E E] {n : ℕ} (m : Fin (n + 1) → V) (f : E),
LineDeriv.iteratedLineDerivOp m f = LineDeriv.lineDerivOp (m 0) (LineDeriv.iteratedLineDerivOp (Fin.tail m) f)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext
- Assumes
- LineDeriv
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fin.tailstatement · cited by 74
- LineDeriv.lineDerivOpstatement · cited by 60
- LineDerivstatement and proof · cited by 29
- LineDeriv.iteratedLineDerivOpstatement · cited by 18
Cited by4
Results whose statement or proof uses this declaration.
- SchwartzMap.iteratedLineDerivOp_eq_iteratedFDerivproof · cited by 0
- LineDeriv.iteratedLineDerivOp_succ_rightproof · cited by 0
- LineDeriv.iteratedLineDerivOp_const_eq_iter_lineDerivOpproof · cited by 0
- SchwartzMap.tsupport_iteratedLineDerivOp_subsetproof · cited by 0