Definition df-succf 34174

Description: Define the successor function. See brsuccf 34243 for its value. (Contributed by Scott Fenton, 14-Apr-2014.)

Assertion

Ref	Expression
df-succf	⊢ Succ = (Cup ∘ ( I ⊗ Singleton))

Detailed syntax breakdown of Definition df-succf

Step	Hyp	Ref	Expression
1		csuccf 34150	. 2 class Succ
2		ccup 34148	. . 3 class Cup
3		cid 5488	. . . 4 class I
4		csingle 34140	. . . 4 class Singleton
5	3, 4	ctxp 34132	. . 3 class ( I ⊗ Singleton)
6	2, 5	ccom 5593	. 2 class (Cup ∘ ( I ⊗ Singleton))
7	1, 6	wceq 1539	1 wff Succ = (Cup ∘ ( I ⊗ Singleton))

This definition is referenced by:  brsuccf  34243