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Theorem 3anim123d 1214
 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 887 . 2
7 df-3an 887 . 2
85, 6, 73imtr4g 194 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 97   w3a 885 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 887 This theorem is referenced by:  hb3and  1379  pofun  4049  soss  4051  wessep  4302  isopolem  5461  isosolem  5463  issmo2  5904  smores  5907
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