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Theorem alsyl 1615
Description: Theorem *10.3 in [WhiteheadRussell] p. 150. (Contributed by Andrew Salmon, 8-Jun-2011.)
Assertion
Ref Expression
alsyl ((x(φψ) x(ψχ)) → x(φχ))

Proof of Theorem alsyl
StepHypRef Expression
1 pm3.33 568 . 2 (((φψ) (ψχ)) → (φχ))
21alanimi 1562 1 ((x(φψ) x(ψχ)) → x(φχ))
Colors of variables: wff setvar class
Syntax hints:  wi 4   wa 358  wal 1540
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557
This theorem depends on definitions:  df-bi 177  df-an 360
This theorem is referenced by:  barbara  2301
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