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Theorem alimdh 1353
Description: Deduction from Theorem 19.20 of [Margaris] p. 90. (Contributed by NM, 4-Jan-2002.)
Hypotheses
Ref Expression
alimdh.1 (φxφ)
alimdh.2 (φ → (ψχ))
Assertion
Ref Expression
alimdh (φ → (xψxχ))

Proof of Theorem alimdh
StepHypRef Expression
1 alimdh.1 . 2 (φxφ)
2 alimdh.2 . . 3 (φ → (ψχ))
32al2imi 1344 . 2 (xφ → (xψxχ))
41, 3syl 14 1 (φ → (xψxχ))
Colors of variables: wff set class
Syntax hints:  wi 4  wal 1240
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-5 1333  ax-gen 1335
This theorem is referenced by:  alrimdh  1365  hbald  1377  alimd  1411  hbimd  1462  dral1  1615  sbiedh  1667  ax16  1691  ax16i  1735  alimdv  1756
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