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Theorem ancl 540
Description: Conjoin antecedent to left of consequent. (Contributed by NM, 15-Aug-1994.)
Assertion
Ref Expression
ancl ((𝜑𝜓) → (𝜑 → (𝜑𝜓)))

Proof of Theorem ancl
StepHypRef Expression
1 pm3.2 461 . 2 (𝜑 → (𝜓 → (𝜑𝜓)))
21a2i 14 1 ((𝜑𝜓) → (𝜑 → (𝜑𝜓)))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 384
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 198  df-an 385
This theorem is referenced by:  alexan  1959  bnj1118  31521  bnj1128  31527  bnj1145  31530  bnj1174  31540
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