_,_ — Mathlib

English

The interval integral of the zero function is zero.

Русский

Интервальный интеграл нуля равен нулю.

LaTeX

$$$\\int x \\in a..b (0) \\partial\\mu = 0$$$

Lean4

/-- The interval integral `∫ x in a..b, f x` is defined
as `∫ x in Ioc a b, f x - ∫ x in Ioc b a, f x`. If `a ≤ b`, then it equals
`∫ x in Ioc a b, f x`, otherwise it equals `-∫ x in Ioc b a, f x`. -/
@[term_parser 1000]
public meta def «term∫_In_.._,_» : Lean.ParserDescr✝ :=
  ParserDescr.node✝ `«term∫_In_.._,_» 1022
    (ParserDescr.binary✝ `andthen
      (ParserDescr.binary✝ `andthen
        (ParserDescr.binary✝ `andthen
          (ParserDescr.binary✝ `andthen
            (ParserDescr.binary✝ `andthen
              (ParserDescr.binary✝ `andthen
                (ParserDescr.binary✝ `andthen (ParserDescr.symbol✝ "∫") Batteries.ExtendedBinder.extBinders)
                (ParserDescr.symbol✝ " in "))
              (ParserDescr.cat✝ `term 0))
            (ParserDescr.symbol✝ ".."))
          (ParserDescr.cat✝ `term 0))
        (ParserDescr.symbol✝ ", "))
      (ParserDescr.cat✝ `term 60))

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