Description: Equality theorem for the well-ordered recursive function generator. (Contributed by Scott Fenton, 7-Jun-2018)
Ref | Expression | ||
---|---|---|---|
Assertion | wrecseq2 | |- ( A = B -> wrecs ( R , A , F ) = wrecs ( R , B , F ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqid | |- R = R |
|
2 | eqid | |- F = F |
|
3 | wrecseq123 | |- ( ( R = R /\ A = B /\ F = F ) -> wrecs ( R , A , F ) = wrecs ( R , B , F ) ) |
|
4 | 1 2 3 | mp3an13 | |- ( A = B -> wrecs ( R , A , F ) = wrecs ( R , B , F ) ) |