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 ⟨“ ABCDEFG ”⟩ = ⟨“ ABCDEF ”⟩ ++ ⟨“ G ”⟩

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 0 1 2 3 4 5 6 cs7 class ⟨“ ABCDEFG ”⟩
8 0 1 2 3 4 5 cs6 class ⟨“ ABCDEF ”⟩
9 cconcat class ++
10 6 cs1 class ⟨“ G ”⟩
11 8 10 9 co class ⟨“ ABCDEF ”⟩ ++ ⟨“ G ”⟩
12 7 11 wceq wff ⟨“ ABCDEFG ”⟩ = ⟨“ ABCDEF ”⟩ ++ ⟨“ G ”⟩