toNonUnitalNonAssocring_injective

English

The forgetful map toNonUnitalNonAssocRing forgets less structure and is injective.

Русский

Забывающее отображение для NonUnitalNonAssocRing инъективно.

LaTeX

$$$\\\\forall A,B \\,\\in \\, \\text{NonUnitalNonAssocSemiring}(R), \\\\ toNonUnitalNonAssocRing(A) = toNonUnitalNonAssocRing(B) \\\\Rightarrow A = B.$$$

Lean4

theorem toNonUnitalNonAssocring_injective : Function.Injective (@toNonUnitalNonAssocRing R) :=
  by
  intro _ _ _
  ext <;> congr

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