Intuitionistic Logic Explorer < Previous   Next > Nearby theorems Mirrors  >  Home  >  ILE Home  >  Th. List  >  syl333anc Unicode version

Theorem syl333anc 1178
 Description: A syllogism inference combined with contraction. (Contributed by NM, 10-Mar-2012.)
Hypotheses
Ref Expression
sylXanc.1
sylXanc.2
sylXanc.3
sylXanc.4
sylXanc.5
sylXanc.6
sylXanc.7
sylXanc.8
sylXanc.9
syl333anc.10
Assertion
Ref Expression
syl333anc

Proof of Theorem syl333anc
StepHypRef Expression
1 sylXanc.1 . 2
2 sylXanc.2 . 2
3 sylXanc.3 . 2
4 sylXanc.4 . 2
5 sylXanc.5 . 2
6 sylXanc.6 . 2
7 sylXanc.7 . . 3
8 sylXanc.8 . . 3
9 sylXanc.9 . . 3
107, 8, 93jca 1095 . 2
11 syl333anc.10 . 2
121, 2, 3, 4, 5, 6, 10, 11syl331anc 1171 1
 Colors of variables: wff set class Syntax hints:   wi 4   w3a 896 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 103  ax-ia2 104  ax-ia3 105 This theorem depends on definitions:  df-bi 114  df-3an 898 This theorem is referenced by: (None)
 Copyright terms: Public domain W3C validator