Definition df-s1 11384

Description: Define the canonical injection from symbols to words. Although not required, A should usually be a set. Otherwise, the singleton word <" A "> would be the singleton word consisting of the empty set, see s1prc 11391, and not, as maybe expected, the empty word. (Contributed by Stefan O'Rear, 15-Aug-2015.) (Revised by Mario Carneiro, 26-Feb-2016.)

Assertion

Ref	Expression
df-s1	|- <" A "> = { <. 0 , ( _I ` A ) >. }

Detailed syntax breakdown of Definition df-s1

Step	Hyp	Ref	Expression
1		cA	. . 3 class A
2	1	cs1 11383	. 2 class <" A ">
3		cc0 8179	. . . 4 class 0
4		cid 4433	. . . . 5 class _I
5	1, 4	cfv 5377	. . . 4 class ( _I ` A )
6	3, 5	cop 3712	. . 3 class <. 0 , ( _I ` A ) >.
7	6	csn 3709	. 2 class { <. 0 , ( _I ` A ) >. }
8	2, 7	wceq 1402	1 wff <" A "> = { <. 0 , ( _I ` A ) >. }

This definition is used by:  s1val  11385  s1eq  11387  s1prc  11391