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Theorem 2alimi 1342
Description: Inference doubly quantifying both antecedent and consequent. (Contributed by NM, 3-Feb-2005.)
Hypothesis
Ref Expression
alimi.1 (φψ)
Assertion
Ref Expression
2alimi (xyφxyψ)

Proof of Theorem 2alimi
StepHypRef Expression
1 alimi.1 . . 3 (φψ)
21alimi 1341 . 2 (yφyψ)
32alimi 1341 1 (xyφxyψ)
Colors of variables: wff set class
Syntax hints:  wi 4  wal 1240
This theorem was proved from axioms:  ax-mp 7  ax-5 1333  ax-gen 1335
This theorem is referenced by:  mo23  1938  mo3h  1950  spc2gv  2637  spc3gv  2639  euind  2722  reuind  2738  sbnfc2  2900  opelopabt  3990  ssrel  4371  ssrelrel  4383  fnoprabg  5544
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