Theorem rexor 43250

Description: Alias for r19.43 3130 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 3130	1 ⊢ (∃𝑥 ∈ 𝐴 (𝜑 ∨ 𝜓) ↔ (∃𝑥 ∈ 𝐴 𝜑 ∨ ∃𝑥 ∈ 𝐴 𝜓))

Syntax hints:   ↔ wb 208   ∨ wo 858  ∃wrex 3086

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  df-or 859  df-ex 1800  df-ral 3077  df-rex 3087

This theorem is referenced by: (None)