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Theorem quantriv 26152
Description: Any wff can be trivially quantified, so long as the quantifier's set is distinct from said wff.

See also 19.9v 1677. (Contributed by Anthony Hart, 13-Sep-2011.)

Assertion
Ref Expression
quantriv  |-  ( A. x ph  <->  ph )
Distinct variable group:    ph, x

Proof of Theorem quantriv
StepHypRef Expression
1 19.3v 1678 1  |-  ( A. x ph  <->  ph )
Colors of variables: wff set class
Syntax hints:    <-> wb 178   A.wal 1550
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1556  ax-5 1567  ax-17 1627  ax-9 1667
This theorem depends on definitions:  df-bi 179  df-an 362  df-ex 1552
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