Definition df-s3 12476

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 12469	. 2 class <" A B C ">
5	1, 2	cs2 12468	. . 3 class <" A B ">
6	3	cs1 12224	. . 3 class <" C ">
7		cconcat 12223	. . 3 class concat
8	5, 6, 7	co 6091	. 2 class ( <" A B "> concat <" C "> )
9	4, 8	wceq 1369	1 wff <" A B C "> = ( <" A B "> concat <" C "> )

This definition is referenced by:  s3eqd  12490  s3cld  12497  s3cli  12506  s3fv0  12515  s3fv1  12516  s3fv2  12517  s3len  12518  s4prop  12525  s3co  12531  s1s2  12533  s1s3  12534  s2s2  12539  s4s3  12541  repsw3  12551  konigsberg  23608