Theorem exor 42655

Description: Alias for 19.43 1882 for easier lookup. (Contributed by SN, 5-Jul-2025.) (New usage is discouraged.)

Assertion

Ref	Expression
exor	⊢ (∃𝑥(𝜑 ∨ 𝜓) ↔ (∃𝑥𝜑 ∨ ∃𝑥𝜓))

Proof of Theorem exor

Step	Hyp	Ref	Expression
1		19.43 1882	1 ⊢ (∃𝑥(𝜑 ∨ 𝜓) ↔ (∃𝑥𝜑 ∨ ∃𝑥𝜓))

Syntax hints:   ↔ wb 206   ∨ wo 848  ∃wex 1779

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1795  ax-4 1809

This theorem depends on definitions:  df-bi 207  df-or 849  df-ex 1780

This theorem is referenced by: (None)