Description: Bound-variable hypothesis builder for class substitution. (Contributed by NM, 5-Aug-1993) (Revised by Mario Carneiro, 12-Oct-2016)
Ref | Expression | ||
---|---|---|---|
Hypothesis | nfsbc1.1 | |- F/_ x A |
|
Assertion | nfsbc1 | |- F/ x [. A / x ]. ph |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfsbc1.1 | |- F/_ x A |
|
2 | 1 | a1i | |- ( T. -> F/_ x A ) |
3 | 2 | nfsbc1d | |- ( T. -> F/ x [. A / x ]. ph ) |
4 | 3 | mptru | |- F/ x [. A / x ]. ph |