Description: A virtual deduction with 1 virtual hypothesis virtually inferring a virtual conclusion infers that the same conclusion is virtually inferred by the same virtual hypothesis and an additional hypothesis. (Contributed by Alan Sare, 12-Jun-2011) (Proof modification is discouraged.) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypothesis | vd12.1 | |- (. ph ->. ps ). |
|
Assertion | vd12 | |- (. ph ,. ch ->. ps ). |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | vd12.1 | |- (. ph ->. ps ). |
|
2 | 1 | in1 | |- ( ph -> ps ) |
3 | 2 | a1d | |- ( ph -> ( ch -> ps ) ) |
4 | 3 | dfvd2ir | |- (. ph ,. ch ->. ps ). |