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Theorem bnj658 32015
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 31950 . 2 ((𝜑𝜓𝜒𝜃) ↔ ((𝜑𝜓𝜒) ∧ 𝜃))
21simplbi 500 1 ((𝜑𝜓𝜒𝜃) → (𝜑𝜓𝜒))
Colors of variables: wff setvar class
Syntax hints:  wi 4  w3a 1082  w-bnj17 31949
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 209  df-an 399  df-bnj17 31950
This theorem is referenced by:  bnj721  32021  bnj594  32177  bnj944  32203  bnj966  32209  bnj967  32210  bnj1154  32264
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