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Theorem bnj706 30950
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 30945 . 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 30880
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 197  df-an 385  df-3an 1056  df-bnj17 30881
This theorem is referenced by:  bnj770  30959  bnj938  31133  bnj964  31139  bnj1001  31154  bnj1006  31155  bnj1110  31176
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