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Metamath Proof Explorer

Theorem alrimdv

Description: Deduction form of Theorem 19.21 of Margaris p. 90. See 19.21 and 19.21v . (Contributed by NM, 10-Feb-1997)

Ref Expression
Hypothesis alrimdv.1 
|- ( ph -> ( ps -> ch ) )
Assertion alrimdv 
|- ( ph -> ( ps -> A. x ch ) )

Proof

Step Hyp Ref Expression
1 alrimdv.1 
 |-  ( ph -> ( ps -> ch ) )
2 ax-5 
 |-  ( ph -> A. x ph )
3 ax-5 
 |-  ( ps -> A. x ps )
4 2 3 1 alrimdh 
 |-  ( ph -> ( ps -> A. x ch ) )