forget_grp_preserves_mono — Mathlib

English

The forgetful functor from GrpCat to Type preserves monomorphisms.

Русский

Функтор забывания из GrpCat в Type сохраняет моно morphisms.

LaTeX

$$$$ \text{forget}_{GrpCat} \text{ preserves monomorphisms}. $$$$

Lean4

@[to_additive AddGrpCat.forget_grp_preserves_mono]
instance forget_grp_preserves_mono : (forget GrpCat).PreservesMonomorphisms where
  preserves f e := by rwa [mono_iff_injective, ← CategoryTheory.mono_iff_injective] at e

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