Metamath Proof Explorer


Theorem s8cli

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

Ref Expression
Assertion s8cli ⟨“ 𝐴 𝐵 𝐶 𝐷 𝐸 𝐹 𝐺 𝐻 ”⟩ ∈ Word V

Proof

Step Hyp Ref Expression
1 df-s8 ⟨“ 𝐴 𝐵 𝐶 𝐷 𝐸 𝐹 𝐺 𝐻 ”⟩ = ( ⟨“ 𝐴 𝐵 𝐶 𝐷 𝐸 𝐹 𝐺 ”⟩ ++ ⟨“ 𝐻 ”⟩ )
2 s7cli ⟨“ 𝐴 𝐵 𝐶 𝐷 𝐸 𝐹 𝐺 ”⟩ ∈ Word V
3 1 2 cats1cli ⟨“ 𝐴 𝐵 𝐶 𝐷 𝐸 𝐹 𝐺 𝐻 ”⟩ ∈ Word V