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Theorem 3pm3.2i 1081
Description: Infer conjunction of premises. (Contributed by NM, 10-Feb-1995.)
Hypotheses
Ref Expression
3pm3.2i.1
3pm3.2i.2
3pm3.2i.3
Assertion
Ref Expression
3pm3.2i

Proof of Theorem 3pm3.2i
StepHypRef Expression
1 3pm3.2i.1 . . 3
2 3pm3.2i.2 . . 3
31, 2pm3.2i 257 . 2
4 3pm3.2i.3 . 2
5 df-3an 886 . 2
63, 4, 5mpbir2an 848 1
Colors of variables: wff set class
Syntax hints:   wa 97   w3a 884
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101
This theorem depends on definitions:  df-bi 110  df-3an 886
This theorem is referenced by:  mpbir3an  1085  3jaoi  1197  ftp  5291
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