Description: Inference associated with bj-looinvi . (Contributed by BJ, 30-Mar-2020)
| Ref | Expression | ||
|---|---|---|---|
| Hypotheses | bj-looinvii.1 | |- ( ( ph -> ps ) -> ps ) |
|
| bj-looinvii.2 | |- ( ps -> ph ) |
||
| Assertion | bj-looinvii | |- ph |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | bj-looinvii.1 | |- ( ( ph -> ps ) -> ps ) |
|
| 2 | bj-looinvii.2 | |- ( ps -> ph ) |
|
| 3 | 1 | bj-looinvi | |- ( ( ps -> ph ) -> ph ) |
| 4 | 2 3 | ax-mp | |- ph |