Mathlib Map

Theorems · Inductive type · functional analysis

ContinuousLineDeriv

(V : Type u) →
  (E : Type v) → (F : outParam (Type w)) → [TopologicalSpace E] → [TopologicalSpace F] → [LineDeriv V E F] → Prop

The line derivative is continuous.

Defined in
Mathlib.Analysis.Distribution.DerivNotation
Cited by
6 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
TopologicalSpaceTopologicalSpaceLineDeriv
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

LineDeriv.lineDerivOpCLM · cited by 9LineDeriv.lineDerivOpCLMLineDeriv.laplacianCLM · cited by 4LineDeriv.laplacianCLMLineDeriv.laplacianCLM_eq_sum · cited by 2LineDeriv.laplacianCLM_eq…LineDeriv.iteratedLineDerivOpCLM · cited by 1LineDeriv.iteratedLineDer…ContinuousLineDeriv.continuous_lineDerivOp · cited by 1ContinuousLineDeriv.conti…LineDeriv.continuous_iteratedLineDerivOp · cited by 0LineDeriv.continuous_iter…LineDeriv.iteratedLineDerivOpCLM_apply · cited by 0LineDeriv.iteratedLineDer…LineDeriv.lineDerivOpCLM.congr_simp · cited by 0lineDerivOpCLM.congr_simpLineDeriv.lineDerivOpCLM_apply · cited by 0LineDeriv.lineDerivOpCLM_…ContinuousLineDeriv.casesOn · cited by 0ContinuousLineDeriv.cases…ContinuousLineDeriv.recOn · cited by 0ContinuousLineDeriv.recOnTopologicalSpace · cited by 24529TopologicalSpaceLineDeriv · cited by 29LineDerivContinuousLineDerivCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by11

Results whose statement or proof uses this declaration.