English
There is a well-defined inverse function diracProbaInverse on the range of diracProba, returning the original point.
Русский
Существует определённая обратная функция diracProbaInverse на диапазоне diracProba, возвращающая исходную точку.
LaTeX
$$$\\mathrm{diracProbaInverse}: range(\\mathrm{diracProba}) \\to X$ with $\\mathrm{diracProba}\\, (\\mathrm{diracProbaInverse}\\mu) = \\mu$ for $\\mu$ in range.$$
Lean4
/-- An inverse function to `diracProba` (only really an inverse under hypotheses that
guarantee injectivity of `diracProba`). -/
noncomputable def diracProbaInverse : range (diracProba (X := X)) → X := fun μ' ↦ (mem_range.mp μ'.prop).choose