singleton_div_closedBall_one — Mathlib

English

Division by the unit ball yields the ball around x: {x} / closedBall(1, δ) = closedBall(x, δ).

Русский

Деление единичного шара на замкнутый шар daёт шар вокруг x: {x} / closedBall(1, δ) = closedBall(x, δ).

LaTeX

$$$${x} / \overline{B}(1,\delta) = \overline{B}(x,\delta)$$$$

Lean4

@[to_additive]
theorem singleton_div_closedBall_one : { x } / closedBall 1 δ = closedBall x δ := by
  rw [singleton_div_closedBall, div_one]

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