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Theorem bnj706 32043
Description: -manipulation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.)
Hypothesis
Ref Expression
bnj706.1 (𝜓𝜏)
Assertion
Ref Expression
bnj706 ((𝜑𝜓𝜒𝜃) → 𝜏)

Proof of Theorem bnj706
StepHypRef Expression
1 bnj643 32038 . 2 ((𝜑𝜓𝜒𝜃) → 𝜓)
2 bnj706.1 . 2 (𝜓𝜏)
31, 2syl 17 1 ((𝜑𝜓𝜒𝜃) → 𝜏)
Colors of variables: wff setvar class
Syntax hints:  wi 4  w-bnj17 31974
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 210  df-an 400  df-3an 1086  df-bnj17 31975
This theorem is referenced by:  bnj770  32052  bnj938  32227  bnj964  32233  bnj1001  32249  bnj1006  32250  bnj1110  32272
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