Description: Conjunction form of e22 . (Contributed by Alan Sare, 11-Jun-2011) (Proof modification is discouraged.) (New usage is discouraged.)
Ref | Expression | ||
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Hypotheses | e22an.1 | |- (. ph ,. ps ->. ch ). |
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e22an.2 | |- (. ph ,. ps ->. th ). |
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e22an.3 | |- ( ( ch /\ th ) -> ta ) |
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Assertion | e22an | |- (. ph ,. ps ->. ta ). |
Step | Hyp | Ref | Expression |
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1 | e22an.1 | |- (. ph ,. ps ->. ch ). |
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2 | e22an.2 | |- (. ph ,. ps ->. th ). |
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3 | e22an.3 | |- ( ( ch /\ th ) -> ta ) |
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4 | 3 | ex | |- ( ch -> ( th -> ta ) ) |
5 | 1 2 4 | e22 | |- (. ph ,. ps ->. ta ). |