Metamath Proof Explorer

Definition df-s7

Description: Define the length 7 word constructor. (Contributed by Mario Carneiro, 26-Feb-2016)

Ref Expression
Assertion df-s7 
|- <" A B C D E F G "> = ( <" A B C D E F "> ++ <" G "> )

Detailed syntax breakdown

Step Hyp Ref Expression
0 cA 
 |-  A
1 cB 
 |-  B
2 cC 
 |-  C
3 cD 
 |-  D
4 cE 
 |-  E
5 cF 
 |-  F
6 cG 
 |-  G
7 0 1 2 3 4 5 6 cs7 
 |-  <" A B C D E F G ">
8 0 1 2 3 4 5 cs6 
 |-  <" A B C D E F ">
9 cconcat 
 |-  ++
10 6 cs1 
 |-  <" G ">
11 8 10 9 co 
 |-  ( <" A B C D E F "> ++ <" G "> )
12 7 11 wceq 
 |-  <" A B C D E F G "> = ( <" A B C D E F "> ++ <" G "> )