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Theorem simpl1l 1006
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simpl1l ((((φ ψ) χ θ) τ) → φ)

Proof of Theorem simpl1l
StepHypRef Expression
1 simp1l 979 . 2 (((φ ψ) χ θ) → φ)
21adantr 451 1 ((((φ ψ) χ θ) τ) → φ)
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:  tfin11  4493  sfinltfin  4535
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