Metamath Proof Explorer


Definition df-s2

Description: Define the length 2 word constructor. (Contributed by Mario Carneiro, 26-Feb-2016)

Ref Expression
Assertion df-s2 ⟨“AB”⟩=⟨“A”⟩++⟨“B”⟩

Detailed syntax breakdown

Step Hyp Ref Expression
0 cA classA
1 cB classB
2 0 1 cs2 class⟨“AB”⟩
3 0 cs1 class⟨“A”⟩
4 cconcat class++
5 1 cs1 class⟨“B”⟩
6 3 5 4 co class⟨“A”⟩++⟨“B”⟩
7 2 6 wceq wff⟨“AB”⟩=⟨“A”⟩++⟨“B”⟩