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Theorem sylancom 397
Description: Syllogism inference with commutation of antecents. (Contributed by NM, 2-Jul-2008.)
Hypotheses
Ref Expression
sylancom.1
sylancom.2
Assertion
Ref Expression
sylancom

Proof of Theorem sylancom
StepHypRef Expression
1 sylancom.1 . 2
2 simpr 103 . 2
3 sylancom.2 . 2
41, 2, 3syl2anc 391 1
Colors of variables: wff set class
Syntax hints:   wi 4   wa 97
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia2 100  ax-ia3 101
This theorem is referenced by:  ordin  4088  fimacnvdisj  5017  fvimacnv  5225  cauappcvgprlemlol  6619  cauappcvgprlemladdru  6628  cauappcvgprlemladdrl  6629  caucvgprlemlol  6641  caucvgprlemladdrl  6649  recgt1i  7645  avgle2  7943  ioodisj  8631  fzneuz  8733
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