Description: Obsolete version of raleleq as of 9-Mar-2025. (Contributed by AV, 30-Oct-2020) (Proof modification is discouraged.) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | raleleqOLD | |- ( A = B -> A. x e. A x e. B ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | eleq2 | |- ( A = B -> ( x e. A <-> x e. B ) ) |
|
| 2 | 1 | biimpd | |- ( A = B -> ( x e. A -> x e. B ) ) |
| 3 | 2 | ralrimiv | |- ( A = B -> A. x e. A x e. B ) |