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Theorem adantlll 698
Description: Deduction adding a conjunct to antecedent. (Contributed by NM, 26-Dec-2004.) (Proof shortened by Wolf Lammen, 2-Dec-2012.)
Hypothesis
Ref Expression
adantl2.1
Assertion
Ref Expression
adantlll

Proof of Theorem adantlll
StepHypRef Expression
1 simpr 447 . 2
2 adantl2.1 . 2
31, 2sylanl1 631 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wa 358
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 177  df-an 360
This theorem is referenced by: (None)
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