Description: Obsolete version of sbcbidv as of 1-Dec-2023. (Contributed by NM, 29-Dec-2014) (Proof modification is discouraged.) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypothesis | sbcbidv.1 | |- ( ph -> ( ps <-> ch ) ) |
|
Assertion | sbcbidvOLD | |- ( ph -> ( [. A / x ]. ps <-> [. A / x ]. ch ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sbcbidv.1 | |- ( ph -> ( ps <-> ch ) ) |
|
2 | nfv | |- F/ x ph |
|
3 | 2 1 | sbcbid | |- ( ph -> ( [. A / x ]. ps <-> [. A / x ]. ch ) ) |