Theorem rexor 42609

Description: Alias for r19.43 3118 for easier lookup. (Contributed by SN, 5-Jul-2025.) (New usage is discouraged.)

Assertion

Ref	Expression
rexor	⊢ (∃𝑥 ∈ 𝐴 (𝜑 ∨ 𝜓) ↔ (∃𝑥 ∈ 𝐴 𝜑 ∨ ∃𝑥 ∈ 𝐴 𝜓))

Proof of Theorem rexor

Step	Hyp	Ref	Expression
1		r19.43 3118	1 ⊢ (∃𝑥 ∈ 𝐴 (𝜑 ∨ 𝜓) ↔ (∃𝑥 ∈ 𝐴 𝜑 ∨ ∃𝑥 ∈ 𝐴 𝜓))

Syntax hints:   ↔ wb 206   ∨ wo 846  ∃wrex 3066

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1790  ax-4 1804

This theorem depends on definitions:  df-bi 207  df-an 396  df-or 847  df-ex 1775  df-ral 3058  df-rex 3067

This theorem is referenced by: (None)