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 class A
1 cB class B
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 ”⟩