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Theorem axgen 197
Description: Rule of Generalization. See e.g. Rule 2 of [Hamilton] p. 74.
Hypothesis
Ref Expression
axgen.1 |- T. |= R
Assertion
Ref Expression
axgen |- T. |= (A.\x:al R)
Distinct variable group:   al,x

Proof of Theorem axgen
StepHypRef Expression
1 axgen.1 . 2 |- T. |= R
21alrimiv 141 1 |- T. |= (A.\x:al R)
Colors of variables: type var term
Syntax hints:  kc 5  \kl 6  T.kt 8   |= wffMMJ2 11  A.tal 112
This theorem was proved from axioms:  ax-syl 15  ax-jca 17  ax-simpl 20  ax-simpr 21  ax-id 24  ax-trud 26  ax-cb1 29  ax-cb2 30  ax-refl 39  ax-eqmp 42  ax-ded 43  ax-ceq 46  ax-beta 60  ax-distrc 61  ax-leq 62  ax-hbl1 93  ax-17 95  ax-inst 103
This theorem depends on definitions:  df-ov 65  df-al 116
This theorem is referenced by: (None)
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