Metamath Proof Explorer


Definition df-s4

Description: Define the length 4 word constructor. (Contributed by Mario Carneiro, 26-Feb-2016)

Ref Expression
Assertion df-s4 ⟨“ABCD”⟩=⟨“ABC”⟩++⟨“D”⟩

Detailed syntax breakdown

Step Hyp Ref Expression
0 cA classA
1 cB classB
2 cC classC
3 cD classD
4 0 1 2 3 cs4 class⟨“ABCD”⟩
5 0 1 2 cs3 class⟨“ABC”⟩
6 cconcat class++
7 3 cs1 class⟨“D”⟩
8 5 7 6 co class⟨“ABC”⟩++⟨“D”⟩
9 4 8 wceq wff⟨“ABCD”⟩=⟨“ABC”⟩++⟨“D”⟩