Commit 2025-07-25 19:55 67bb55a5
View on Github →feat(CategoryTheory/Monoidal/Opposites): monoid objects internal to the monoidal opposite (#25854)
We construct an equivalence between monoid objects internal to a monoidal category C
, and monoid objects internal to its monoidal opposite Cᴹᵒᵖ
. This is done by adding Mon_Class
and IsMon_Hom
instance to the relevant objects, as well as by recording an explicit equivalence of categories Mon_ C ≌ Mon_ Cᴹᵒᵖ
.