Definition df-s3 12764

Description: Define the length 3 word constructor. (Contributed by Mario Carneiro, 26-Feb-2016.)

Assertion

Ref	Expression
df-s3	|- <" A B C "> = ( <" A B "> concat <" C "> )

Detailed syntax breakdown of Definition df-s3

Step	Hyp	Ref	Expression
1		cA	. . 3 class A
2		cB	. . 3 class B
3		cC	. . 3 class C
4	1, 2, 3	cs3 12757	. 2 class <" A B C ">
5	1, 2	cs2 12756	. . 3 class <" A B ">
6	3	cs1 12490	. . 3 class <" C ">
7		cconcat 12489	. . 3 class concat
8	5, 6, 7	co 6275	. 2 class ( <" A B "> concat <" C "> )
9	4, 8	wceq 1374	1 wff <" A B C "> = ( <" A B "> concat <" C "> )

This definition is referenced by:  s3eqd  12778  s3cld  12785  s3cli  12794  s3fv0  12803  s3fv1  12804  s3fv2  12805  s3len  12806  s4prop  12813  s3co  12819  s1s2  12821  s1s3  12822  s2s2  12827  s4s3  12829  repsw3  12839  konigsberg  24649