Metamath Proof Explorer


Theorem ellazim

Description: Representation of an "extended integer". (Contributed by AV, 25-Oct-2026)

Ref Expression
Assertion ellazim Could not format assertion : No typesetting found for |- ( ( S e. CC /\ A e. ( Z[]l ` S ) ) -> E. a e. ZZ E. b e. ZZ A = ( a + ( b x. S ) ) ) with typecode |-

Proof

Step Hyp Ref Expression
1 ellaz Could not format ( S e. CC -> ( A e. ( Z[]l ` S ) <-> ( A e. CC /\ E. a e. ZZ E. b e. ZZ A = ( a + ( b x. S ) ) ) ) ) : No typesetting found for |- ( S e. CC -> ( A e. ( Z[]l ` S ) <-> ( A e. CC /\ E. a e. ZZ E. b e. ZZ A = ( a + ( b x. S ) ) ) ) ) with typecode |-
2 1 simplbda Could not format ( ( S e. CC /\ A e. ( Z[]l ` S ) ) -> E. a e. ZZ E. b e. ZZ A = ( a + ( b x. S ) ) ) : No typesetting found for |- ( ( S e. CC /\ A e. ( Z[]l ` S ) ) -> E. a e. ZZ E. b e. ZZ A = ( a + ( b x. S ) ) ) with typecode |-