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Theorem hbl1 94
Description: Inference form of ax-hbl1 93.
Hypotheses
Ref Expression
ax-hbl1.1 A:γ
ax-hbl1.2 B:α
hbl1.3 R:∗
Assertion
Ref Expression
hbl1 R⊧[(λx:α λx:β AB) = λx:β A]

Proof of Theorem hbl1
StepHypRef Expression
1 hbl1.3 . 2 R:∗
2 ax-hbl1.1 . . 3 A:γ
3 ax-hbl1.2 . . 3 B:α
42, 3ax-hbl1 93 . 2 ⊤⊧[(λx:α λx:β AB) = λx:β A]
51, 4a1i 28 1 R⊧[(λx:α λx:β AB) = λx:β A]
Colors of variables: type var term
Syntax hints:  hb 3  kc 5  λkl 6   = ke 7  [kbr 9  wffMMJ2 11  wffMMJ2t 12
This theorem was proved from axioms:  ax-syl 15  ax-trud 26  ax-hbl1 93
This theorem is referenced by:  clf  105  cbvf  167  axrep  207
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