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 ⟨“ABCDEF”⟩=⟨“ABCDE”⟩++⟨“F”⟩

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 0 1 2 3 4 5 cs6 class⟨“ABCDEF”⟩
7 0 1 2 3 4 cs5 class⟨“ABCDE”⟩
8 cconcat class++
9 5 cs1 class⟨“F”⟩
10 7 9 8 co class⟨“ABCDE”⟩++⟨“F”⟩
11 6 10 wceq wff⟨“ABCDEF”⟩=⟨“ABCDE”⟩++⟨“F”⟩