English
There is an instance making monomorphisms stable under transfinite composition, in Grothendieck abelian categories.
Русский
Существуют условия сохранения мономорфизмов под трансфинитной композицией в абелевых категориях Гротенштейджа.
LaTeX
$$$\\text{IsStableUnderTransfiniteComposition}(\\text{monomorphisms})$$$
Lean4
instance : HasFunctorialFactorization (monomorphisms C) (monomorphisms C).rlp :=
by
have hG := isSeparator_separator C
rw [← generatingMonomorphisms_rlp hG, ← llp_rlp_monomorphisms hG, ← generatingMonomorphisms_rlp hG]
infer_instance
