English
Any ContDiffMapSupportedIn element is smoothly differentiable in the usual sense.
Русский
Любой элемент ContDiffMapSupportedIn обладает гладкостью в обычном смысле.
LaTeX
$$$$\\text{ContDiff}(ℝ, n) f \\Rightarrow f\\in C^n.$$$$
Lean4
/-- Notation for the space of bundled smooth (inifinitely differentiable)
functions with support in a compact set `K`. -/
@[scoped term_parser 1000]
public meta def «term𝓓_{_}(_,_)» : Lean.ParserDescr✝ :=
ParserDescr.node✝ `Distributions.«term𝓓_{_}(_,_)» 1024
(ParserDescr.binary✝ `andthen
(ParserDescr.binary✝ `andthen
(ParserDescr.binary✝ `andthen
(ParserDescr.binary✝ `andthen
(ParserDescr.binary✝ `andthen
(ParserDescr.binary✝ `andthen (ParserDescr.symbol✝ "𝓓_{") (ParserDescr.cat✝ `term 0))
(ParserDescr.symbol✝ "}("))
(ParserDescr.cat✝ `term 0))
(ParserDescr.symbol✝ ", "))
(ParserDescr.cat✝ `term 0))
(ParserDescr.symbol✝ ")"))