Theorem eupre

Description: Unique predecessor exists on the successor class. (Contributed by Peter Mazsa, 27-Jan-2026)

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

Proof

Step	Hyp	Ref	Expression
1		df-succl	Could not format Suc = ran SucMap : No typesetting found for |- Suc = ran SucMap with typecode |-
2	1	eleq2i	Could not format ( N e. Suc <-> N e. ran SucMap ) : No typesetting found for |- ( N e. Suc <-> N e. ran SucMap ) with typecode |-
3		eupre2	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 |-
4	2 3	bitrid	Could not format ( N e. V -> ( N e. Suc <-> E! m m SucMap N ) ) : No typesetting found for |- ( N e. V -> ( N e. Suc <-> E! m m SucMap N ) ) with typecode |-