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Theorem simpr3 963
Description: Simplification rule. (Contributed by Jeff Hankins, 17-Nov-2009.)
Assertion
Ref Expression
simpr3 ((φ (ψ χ θ)) → θ)

Proof of Theorem simpr3
StepHypRef Expression
1 simp3 957 . 2 ((ψ χ θ) → θ)
21adantl 452 1 ((φ (ψ χ θ)) → θ)
Colors of variables: wff setvar class
Syntax hints:  wi 4   wa 358   w3a 934
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 177  df-an 360  df-3an 936
This theorem is referenced by:  simplr3  999  simprr3  1005  simp1r3  1053  simp2r3  1059  simp3r3  1065  3anandis  1283
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