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Theorem mpgbi 1338
Description: Modus ponens on biconditional combined with generalization. (Contributed by NM, 24-May-1994.) (Proof shortened by Stefan Allan, 28-Oct-2008.)
Hypotheses
Ref Expression
mpgbi.1
mpgbi.2
Assertion
Ref Expression
mpgbi

Proof of Theorem mpgbi
StepHypRef Expression
1 mpgbi.2 . . 3
21ax-gen 1335 . 2
3 mpgbi.1 . 2
42, 3mpbi 133 1
Colors of variables: wff set class
Syntax hints:   wb 98  wal 1240
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-gen 1335
This theorem depends on definitions:  df-bi 110
This theorem is referenced by:  nex  1386  exlimih  1481  exan  1580  abbii  2150  bj-ex  9217
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