Definition df-s5 13596

Description: Define the length 5 word constructor. (Contributed by Mario Carneiro, 26-Feb-2016.)

Assertion

Ref	Expression
df-s5	|- <" A B C D E "> = ( <" A B C D "> ++ <" E "> )

Detailed syntax breakdown of Definition df-s5

Step	Hyp	Ref	Expression
1		cA	. . 3 class A
2		cB	. . 3 class B
3		cC	. . 3 class C
4		cD	. . 3 class D
5		cE	. . 3 class E
6	1, 2, 3, 4, 5	cs5 13589	. 2 class <" A B C D E ">
7	1, 2, 3, 4	cs4 13588	. . 3 class <" A B C D ">
8	5	cs1 13294	. . 3 class <" E ">
9		cconcat 13293	. . 3 class ++
10	7, 8, 9	co 6650	. 2 class ( <" A B C D "> ++ <" E "> )
11	6, 10	wceq 1483	1 wff <" A B C D E "> = ( <" A B C D "> ++ <" E "> )

This definition is referenced by:  s5eqd  13611  s5cld  13619  s5cli  13628  s5len  13645  s1s4  13670  s1s5  13671  s4s2  13675  s5s2  13680  konigsberglem1  27114  konigsberglem2  27115  konigsberglem3  27116