Metamath Proof Explorer


Theorem elazim

Description: Representation of an extended integer. (Contributed by AV, 31-Oct-2026)

Ref Expression
Assertion elazim Could not format assertion : No typesetting found for |- ( ( S e. CC /\ A e. ( Z[] ` S ) ) -> A e. ( ( RingSpan ` CCfld ) ` ( ZZ u. { S } ) ) ) with typecode |-

Proof

Step Hyp Ref Expression
1 elaz Could not format ( S e. CC -> ( A e. ( Z[] ` S ) <-> A e. ( ( RingSpan ` CCfld ) ` ( ZZ u. { S } ) ) ) ) : No typesetting found for |- ( S e. CC -> ( A e. ( Z[] ` S ) <-> A e. ( ( RingSpan ` CCfld ) ` ( ZZ u. { S } ) ) ) ) with typecode |-
2 1 biimpa Could not format ( ( S e. CC /\ A e. ( Z[] ` S ) ) -> A e. ( ( RingSpan ` CCfld ) ` ( ZZ u. { S } ) ) ) : No typesetting found for |- ( ( S e. CC /\ A e. ( Z[] ` S ) ) -> A e. ( ( RingSpan ` CCfld ) ` ( ZZ u. { S } ) ) ) with typecode |-