Metamath Proof Explorer


Theorem s8cli

Description: A length 8 string is a word. (Contributed by Mario Carneiro, 26-Feb-2016)

Ref Expression
Assertion s8cli ⊢ ⟨“ ABCDEFGH ”⟩ ∈ Word V

Proof

Step Hyp Ref Expression
1 df-s8 ⊢ ⟨“ ABCDEFGH ”⟩ = ⟨“ ABCDEFG ”⟩ ++ ⟨“ H ”⟩
2 s7cli ⊢ ⟨“ ABCDEFG ”⟩ ∈ Word V
3 1 2 cats1cli ⊢ ⟨“ ABCDEFGH ”⟩ ∈ Word V