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Theorem 3anim123d 1213
Description: Deduction joining 3 implications to form implication of conjunctions. (Contributed by NM, 24-Feb-2005.)
Hypotheses
Ref Expression
3anim123d.1
3anim123d.2
3anim123d.3
Assertion
Ref Expression
3anim123d

Proof of Theorem 3anim123d
StepHypRef Expression
1 3anim123d.1 . . . 4
2 3anim123d.2 . . . 4
31, 2anim12d 318 . . 3
4 3anim123d.3 . . 3
53, 4anim12d 318 . 2
6 df-3an 886 . 2
7 df-3an 886 . 2
85, 6, 73imtr4g 194 1
Colors of variables: wff set class
Syntax hints:   wi 4   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:  hb3and  1376  pofun  4040  soss  4042  isopolem  5404  isosolem  5406  issmo2  5845  smores  5848
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