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Theorem bnj658 29868
Description: -manipulation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.)
Assertion
Ref Expression
bnj658 ((𝜑𝜓𝜒𝜃) → (𝜑𝜓𝜒))

Proof of Theorem bnj658
StepHypRef Expression
1 df-bnj17 29799 . 2 ((𝜑𝜓𝜒𝜃) ↔ ((𝜑𝜓𝜒) ∧ 𝜃))
21simplbi 474 1 ((𝜑𝜓𝜒𝜃) → (𝜑𝜓𝜒))
Colors of variables: wff setvar class
Syntax hints:  wi 4  w3a 1030  w-bnj17 29798
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 195  df-an 384  df-bnj17 29799
This theorem is referenced by:  bnj721  29874  bnj594  30029  bnj944  30055  bnj966  30061  bnj967  30062  bnj1154  30114
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