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Theorem 3ad2antl2 1066
Description: Deduction adding conjuncts to antecedent. (Contributed by NM, 4-Aug-2007.)
Hypothesis
Ref Expression
3ad2antl.1 ((φ χ) → θ)
Assertion
Ref Expression
3ad2antl2 (((ψ φ τ) χ) → θ)

Proof of Theorem 3ad2antl2
StepHypRef Expression
1 3ad2antl.1 . . 3 ((φ χ) → θ)
21adantlr 446 . 2 (((φ τ) χ) → θ)
323adantl1 1059 1 (((ψ φ τ) χ) → θ)
Colors of variables: wff set class
Syntax hints:  wi 4   wa 97   w3a 884
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 886
This theorem is referenced by:  fcofo  5367  cocan1  5370  acexmid  5454  caovimo  5636  ltpopr  6568  ltsopr  6569  addcanprleml  6587  addcanprlemu  6588  aptiprlemu  6611
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