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 classA
1 cB classB
2 cC classC
3 cD classD
4 cE classE
5 cF classF
6 cG classG
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”⟩