isLeftRegular_up — Mathlib

English

Regularity is preserved under ULift: IsLeftRegular (ULift.up a) iff IsLeftRegular a.

Русский

Регулярность сохраняется под ULift: IsLeftRegular (ULift.up a) эквивалентно IsLeftRegular a.

LaTeX

$$IsLeftRegular ULift.up$$

Lean4

@[to_additive (attr := simp)]
theorem isLeftRegular_up {a : R} : IsLeftRegular (ULift.up.{u} a) ↔ IsLeftRegular a :=
  Equiv.ulift.symm.comp_injective _ |>.trans <| Equiv.ulift.symm.injective_comp _ |>.symm

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