Metamath Proof Explorer


Definition df-s8

Description: Define the length 8 word constructor. (Contributed by Mario Carneiro, 26-Feb-2016)

Ref Expression
Assertion df-s8 ⟨“ ABCDEFGH ”⟩ = ⟨“ ABCDEFG ”⟩ ++ ⟨“ H ”⟩

Detailed syntax breakdown

Step Hyp Ref Expression
0 cA class A
1 cB class B
2 cC class C
3 cD class D
4 cE class E
5 cF class F
6 cG class G
7 cH class H
8 0 1 2 3 4 5 6 7 cs8 class ⟨“ ABCDEFGH ”⟩
9 0 1 2 3 4 5 6 cs7 class ⟨“ ABCDEFG ”⟩
10 cconcat class ++
11 7 cs1 class ⟨“ H ”⟩
12 9 11 10 co class ⟨“ ABCDEFG ”⟩ ++ ⟨“ H ”⟩
13 8 12 wceq wff ⟨“ ABCDEFGH ”⟩ = ⟨“ ABCDEFG ”⟩ ++ ⟨“ H ”⟩