Theorem eupre2

Description: Unique predecessor exists on the range of the successor map. (Contributed by Peter Mazsa, 12-Jan-2026)

	Ref	Expression
Assertion	eupre2	Could not format assertion : No typesetting found for |- ( N e. V -> ( N e. ran SucMap <-> E! m m SucMap N ) ) with typecode |-

Proof

Step	Hyp	Ref	Expression
1		elrng	Could not format ( N e. V -> ( N e. ran SucMap <-> E. m m SucMap N ) ) : No typesetting found for |- ( N e. V -> ( N e. ran SucMap <-> E. m m SucMap N ) ) with typecode |-
2		exeupre	Could not format ( N e. V -> ( E. m m SucMap N <-> E! m m SucMap N ) ) : No typesetting found for |- ( N e. V -> ( E. m m SucMap N <-> E! m m SucMap N ) ) with typecode |-
3	1 2	bitrd	Could not format ( N e. V -> ( N e. ran SucMap <-> E! m m SucMap N ) ) : No typesetting found for |- ( N e. V -> ( N e. ran SucMap <-> E! m m SucMap N ) ) with typecode |-