Description: Equality inference for indexed union. (Contributed by NM, 22-Oct-2003)
Ref | Expression | ||
---|---|---|---|
Hypothesis | iuneq2i.1 | |- ( x e. A -> B = C ) |
|
Assertion | iuneq2i | |- U_ x e. A B = U_ x e. A C |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | iuneq2i.1 | |- ( x e. A -> B = C ) |
|
2 | iuneq2 | |- ( A. x e. A B = C -> U_ x e. A B = U_ x e. A C ) |
|
3 | 2 1 | mprg | |- U_ x e. A B = U_ x e. A C |