Metamath Proof Explorer


Theorem s6cli

Description: A length 6 string is a word. (Contributed by Mario Carneiro, 26-Feb-2016)

Ref Expression
Assertion s6cli
|- <" A B C D E F "> e. Word _V

Proof

Step Hyp Ref Expression
1 df-s6
 |-  <" A B C D E F "> = ( <" A B C D E "> ++ <" F "> )
2 s5cli
 |-  <" A B C D E "> e. Word _V
3 1 2 cats1cli
 |-  <" A B C D E F "> e. Word _V