Metamath Proof Explorer


Theorem s7cli

Description: A length 7 string is a word. (Contributed by Mario Carneiro, 26-Feb-2016)

Ref Expression
Assertion s7cli ⊢ ⟨“ ABCDEFG ”⟩ ∈ Word V

Proof

Step Hyp Ref Expression
1 df-s7 ⊢ ⟨“ ABCDEFG ”⟩ = ⟨“ ABCDEF ”⟩ ++ ⟨“ G ”⟩
2 s6cli ⊢ ⟨“ ABCDEF ”⟩ ∈ Word V
3 1 2 cats1cli ⊢ ⟨“ ABCDEFG ”⟩ ∈ Word V