Theorem alan 43248

Description: Alias for 19.26 1890 for easier lookup. (Contributed by SN, 12-Aug-2025.) (New usage is discouraged.)

Assertion

Ref	Expression
alan	⊢ (∀𝑥(𝜑 ∧ 𝜓) ↔ (∀𝑥𝜑 ∧ ∀𝑥𝜓))

Proof of Theorem alan

Step	Hyp	Ref	Expression
1		19.26 1890	1 ⊢ (∀𝑥(𝜑 ∧ 𝜓) ↔ (∀𝑥𝜑 ∧ ∀𝑥𝜓))

Syntax hints:   ↔ wb 208   ∧ wa 399  ∀wal 1558

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1815  ax-4 1829

This theorem depends on definitions:  df-bi 209  df-an 400

This theorem is referenced by: (None)