Theorems · Theorem · functional analysis
LineDeriv.iteratedLineDerivOpCLM_apply
∀ {R : Type u_4} {V : Type u_5} {E : Type u_6} [inst : LineDeriv V E E] [inst_1 : TopologicalSpace E] [inst_2 : Ring R]
[inst_3 : AddCommGroup V] [inst_4 : AddCommGroup E] [inst_5 : Module R E] [inst_6 : LineDerivAdd V E E]
[inst_7 : LineDerivSMul R V E E] [inst_8 : ContinuousLineDeriv V E E] {n : ℕ} (m : Fin n → V) (x : E),
(LineDeriv.iteratedLineDerivOpCLM R E m) x = LineDeriv.iteratedLineDerivOp m x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext
Around this declaration
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- ContinuousLinearMapstatement · cited by 5,352
- LineDerivstatement and proof · cited by 29
- LineDerivAddstatement and proof · cited by 19
- LineDeriv.iteratedLineDerivOpstatement · cited by 18
- LineDerivSMulstatement and proof · cited by 9
- ContinuousLineDerivstatement and proof · cited by 6
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