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Theorem 19.17 1861
Description: Theorem 19.17 of [Margaris] p. 90. (Contributed by NM, 5-Aug-1993.)
Hypothesis
Ref Expression
19.17.1 xψ
Assertion
Ref Expression
19.17 (x(φψ) → (xφψ))

Proof of Theorem 19.17
StepHypRef Expression
1 albi 1564 . 2 (x(φψ) → (xφxψ))
2 19.17.1 . . 3 xψ
3219.3 1785 . 2 (xψψ)
41, 3syl6bb 252 1 (x(φψ) → (xφψ))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wb 176  wal 1540  wnf 1544
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-11 1746
This theorem depends on definitions:  df-bi 177  df-ex 1542  df-nf 1545
This theorem is referenced by: (None)
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