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 class A
1 cB class B
2 cC class C
3 cD class D
4 cE class E
5 cF class F
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 ”⟩