Metamath Proof Explorer


Definition df-cco

Description: Define the composition operation of a category. (Contributed by Mario Carneiro, 2-Jan-2017) Use its index-independent form ccoid instead. (New usage is discouraged.)

Ref Expression
Assertion df-cco comp = Slot 1 5

Detailed syntax breakdown

Step Hyp Ref Expression
0 cco ⊢ comp
1 c1 ⊢ 1
2 c5 ⊢ 5
3 1 2 cdc ⊢ 1 5
4 3 cslot ⊢ Slot 1 5
5 0 4 wceq ⊢ comp = Slot 1 5