Metamath Proof Explorer


Definition df-s6

Description: Define the length 6 word constructor. (Contributed by Mario Carneiro, 26-Feb-2016)

Ref Expression
Assertion df-s6 ⟨“ 𝐴 𝐵 𝐶 𝐷 𝐸 𝐹 ”⟩ = ( ⟨“ 𝐴 𝐵 𝐶 𝐷 𝐸 ”⟩ ++ ⟨“ 𝐹 ”⟩ )

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 0 1 2 3 4 5 cs6 ⟨“ 𝐴 𝐵 𝐶 𝐷 𝐸 𝐹 ”⟩
7 0 1 2 3 4 cs5 ⟨“ 𝐴 𝐵 𝐶 𝐷 𝐸 ”⟩
8 cconcat ++
9 5 cs1 ⟨“ 𝐹 ”⟩
10 7 9 8 co ( ⟨“ 𝐴 𝐵 𝐶 𝐷 𝐸 ”⟩ ++ ⟨“ 𝐹 ”⟩ )
11 6 10 wceq ⟨“ 𝐴 𝐵 𝐶 𝐷 𝐸 𝐹 ”⟩ = ( ⟨“ 𝐴 𝐵 𝐶 𝐷 𝐸 ”⟩ ++ ⟨“ 𝐹 ”⟩ )