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Theorem simp1rr 1032
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simp1rr (((𝜒 ∧ (𝜑𝜓)) ∧ 𝜃𝜏) → 𝜓)

Proof of Theorem simp1rr
StepHypRef Expression
1 simprr 506 . 2 ((𝜒 ∧ (𝜑𝜓)) → 𝜓)
213ad2ant1 987 1 (((𝜒 ∧ (𝜑𝜓)) ∧ 𝜃𝜏) → 𝜓)
Colors of variables: wff set class
Syntax hints:  wi 4  wa 103  w3a 947
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107
This theorem depends on definitions:  df-bi 116  df-3an 949
This theorem is referenced by:  f1imass  5643
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