Definition df-s3 12795

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 12788	. 2 class <" A B C ">
5	1, 2	cs2 12787	. . 3 class <" A B ">
6	3	cs1 12518	. . 3 class <" C ">
7		cconcat 12517	. . 3 class concat
8	5, 6, 7	co 6281	. 2 class ( <" A B "> concat <" C "> )
9	4, 8	wceq 1383	1 wff <" A B C "> = ( <" A B "> concat <" C "> )

This definition is referenced by:  s3eqd  12809  s3cld  12816  s3cli  12825  s3fv0  12834  s3fv1  12835  s3fv2  12836  s3len  12837  s4prop  12844  s3co  12850  s1s2  12852  s1s3  12853  s2s2  12858  s4s3  12860  repsw3  12870  konigsberg  24963