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Theorem alimd 1411
Description: Deduction from Theorem 19.20 of [Margaris] p. 90. (Contributed by Mario Carneiro, 24-Sep-2016.)
Hypotheses
Ref Expression
alimd.1 xφ
alimd.2 (φ → (ψχ))
Assertion
Ref Expression
alimd (φ → (xψxχ))

Proof of Theorem alimd
StepHypRef Expression
1 alimd.1 . . 3 xφ
21nfri 1409 . 2 (φxφ)
3 alimd.2 . 2 (φ → (ψχ))
42, 3alimdh 1353 1 (φ → (xψxχ))
Colors of variables: wff set class
Syntax hints:  wi 4  wal 1240  wnf 1346
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-5 1333  ax-gen 1335  ax-4 1397
This theorem depends on definitions:  df-bi 110  df-nf 1347
This theorem is referenced by:  alrimdd  1497  moim  1961  ralimdaa  2380  setindft  9425
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