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Theorem hba2 1484
Description: Lemma 24 of [Monk2] p. 114. (Contributed by NM, 29-May-2008.)
Assertion
Ref Expression
hba2 (∀𝑦𝑥𝜑 → ∀𝑥𝑦𝑥𝜑)

Proof of Theorem hba2
StepHypRef Expression
1 hba1 1474 . 2 (∀𝑥𝜑 → ∀𝑥𝑥𝜑)
21hbal 1407 1 (∀𝑦𝑥𝜑 → ∀𝑥𝑦𝑥𝜑)
Colors of variables: wff set class
Syntax hints:  wi 4  wal 1283
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-5 1377  ax-7 1378  ax-gen 1379  ax-ial 1468
This theorem is referenced by: (None)
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