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Theorem eelTTT 28809
 Description: An elimination deduction. (Contributed by Alan Sare, 4-Feb-2017.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
eelTTT.1
eelTTT.2
eelTTT.3
eelTTT.4
Assertion
Ref Expression
eelTTT

Proof of Theorem eelTTT
StepHypRef Expression
1 eelTTT.3 . . 3
2 truan 1340 . . . 4
3 eelTTT.2 . . . . 5
4 3anass 940 . . . . . . 7
5 truan 1340 . . . . . . 7
64, 5bitri 241 . . . . . 6
7 eelTTT.1 . . . . . . 7
8 eelTTT.4 . . . . . . 7
97, 8syl3an1 1217 . . . . . 6
106, 9sylbir 205 . . . . 5
113, 10sylan 458 . . . 4
122, 11sylbir 205 . . 3
131, 12syl 16 . 2
1413trud 1332 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 359   w3a 936   wtru 1325 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8 This theorem depends on definitions:  df-bi 178  df-an 361  df-3an 938  df-tru 1328
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