Definition df-wsucOLD 31001

Description: Define the concept of a successor in a well-founded set. (Contributed by Scott Fenton, 13-Jun-2018.) Obsolete version of df-wsuc 31000 as of 10-Oct-2021. (New usage is discouraged.)

Assertion

Ref	Expression
df-wsucOLD	⊢ wsucOLD(𝑅, 𝐴, 𝑋) = sup(Pred(◡𝑅, 𝐴, 𝑋), 𝐴, ◡𝑅)

Detailed syntax breakdown of Definition df-wsucOLD

Step	Hyp	Ref	Expression
1		cA	. . 3 class 𝐴
2		cR	. . 3 class 𝑅
3		cX	. . 3 class 𝑋
4	1, 2, 3	cwsucOLD 30997	. 2 class wsucOLD(𝑅, 𝐴, 𝑋)
5	2	ccnv 5037	. . . 4 class ◡𝑅
6	1, 5, 3	cpred 5596	. . 3 class Pred(◡𝑅, 𝐴, 𝑋)
7	6, 1, 5	csup 8229	. 2 class sup(Pred(◡𝑅, 𝐴, 𝑋), 𝐴, ◡𝑅)
8	4, 7	wceq 1475	1 wff wsucOLD(𝑅, 𝐴, 𝑋) = sup(Pred(◡𝑅, 𝐴, 𝑋), 𝐴, ◡𝑅)

This definition is referenced by: (None)