Metamath Proof Explorer


Definition df-s7

Description: Define the length 7 word constructor. (Contributed by Mario Carneiro, 26-Feb-2016)

Ref Expression
Assertion df-s7 ⟨“ 𝐴 𝐵 𝐶 𝐷 𝐸 𝐹 𝐺 ”⟩ = ( ⟨“ 𝐴 𝐵 𝐶 𝐷 𝐸 𝐹 ”⟩ ++ ⟨“ 𝐺 ”⟩ )

Detailed syntax breakdown

Step Hyp Ref Expression
0 cA 𝐴
1 cB 𝐵
2 cC 𝐶
3 cD 𝐷
4 cE 𝐸
5 cF 𝐹
6 cG 𝐺
7 0 1 2 3 4 5 6 cs7 ⟨“ 𝐴 𝐵 𝐶 𝐷 𝐸 𝐹 𝐺 ”⟩
8 0 1 2 3 4 5 cs6 ⟨“ 𝐴 𝐵 𝐶 𝐷 𝐸 𝐹 ”⟩
9 cconcat ++
10 6 cs1 ⟨“ 𝐺 ”⟩
11 8 10 9 co ( ⟨“ 𝐴 𝐵 𝐶 𝐷 𝐸 𝐹 ”⟩ ++ ⟨“ 𝐺 ”⟩ )
12 7 11 wceq ⟨“ 𝐴 𝐵 𝐶 𝐷 𝐸 𝐹 𝐺 ”⟩ = ( ⟨“ 𝐴 𝐵 𝐶 𝐷 𝐸 𝐹 ”⟩ ++ ⟨“ 𝐺 ”⟩ )