instContinuousAddMulOpposite — Mathlib

English

If R is a nonunital nonassociative ring with topology and ContinuousNeg R, then the negation on MulOpposite R is continuous.

Русский

Если R — кольцо без единицы и неассоциативное с топологией и ContinuousNeg R, то отрицание на MulOpposite R непрерывно.

LaTeX

$$ContinuousNeg (MulOpposite R)$$

Lean4

instance [NonUnitalNonAssocSemiring R] [TopologicalSpace R] [ContinuousAdd R] : ContinuousAdd Rᵐᵒᵖ :=
  continuousAdd_induced opAddEquiv.symm

Похожие утверждения