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Theorem axgen 210
 Description: Rule of Generalization. See e.g. Rule 2 of [Hamilton] p. 74. (Contributed by Mario Carneiro, 10-Oct-2014.)
Hypothesis
Ref Expression
axgen.1 ⊤⊧R
Assertion
Ref Expression
axgen ⊤⊧(λx:α R)
Distinct variable group:   α,x

Proof of Theorem axgen
StepHypRef Expression
1 axgen.1 . 2 ⊤⊧R
21alrimiv 151 1 ⊤⊧(λx:α R)
 Colors of variables: type var term Syntax hints:  kc 5  λkl 6  ⊤kt 8  ⊧wffMMJ2 11  ∀tal 122 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-wctl 31  ax-wctr 32  ax-weq 40  ax-refl 42  ax-eqmp 45  ax-ded 46  ax-wct 47  ax-wc 49  ax-ceq 51  ax-wv 63  ax-wl 65  ax-beta 67  ax-distrc 68  ax-leq 69  ax-wov 71  ax-eqtypi 77  ax-eqtypri 80  ax-hbl1 103  ax-17 105  ax-inst 113 This theorem depends on definitions:  df-ov 73  df-al 126 This theorem is referenced by: (None)
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