Description: The same as ex-natded5.3 and ex-natded5.3-2 but with no context. Identical to jccir , which should be used instead. (Contributed by Mario Carneiro, 9-Feb-2017) (Proof modification is discouraged.) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Hypotheses | ex-natded5.3i.1 | |- ( ps -> ch ) |
|
| ex-natded5.3i.2 | |- ( ch -> th ) |
||
| Assertion | ex-natded5.3i | |- ( ps -> ( ch /\ th ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ex-natded5.3i.1 | |- ( ps -> ch ) |
|
| 2 | ex-natded5.3i.2 | |- ( ch -> th ) |
|
| 3 | 1 2 | syl | |- ( ps -> th ) |
| 4 | 1 3 | jca | |- ( ps -> ( ch /\ th ) ) |