Theorem hba2 1443

Description: Lemma 24 of [Monk2] p. 114. (Contributed by NM, 29-May-2008.)

Assertion

Ref	Expression
hba2	⊢ (∀𝑦∀𝑥𝜑 → ∀𝑥∀𝑦∀𝑥𝜑)

Proof of Theorem hba2

Step	Hyp	Ref	Expression
1		hba1 1433	. 2 ⊢ (∀𝑥𝜑 → ∀𝑥∀𝑥𝜑)
2	1	hbal 1366	1 ⊢ (∀𝑦∀𝑥𝜑 → ∀𝑥∀𝑦∀𝑥𝜑)

Syntax hints:   → wi 4  ∀wal 1241

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-5 1336  ax-7 1337  ax-gen 1338  ax-ial 1427

This theorem is referenced by: (None)