Theorem rexor 43458

Description: Alias for r19.43 3135 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 3135	1 ⊢ (∃𝑥 ∈ 𝐴 (𝜑 ∨ 𝜓) ↔ (∃𝑥 ∈ 𝐴 𝜑 ∨ ∃𝑥 ∈ 𝐴 𝜓))

This proof depends on syntax axioms:   ↔ wb 209   ∨ wo 861  ∃wrex 3091

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1828  ax-4 1842

This proof depends on definitions:  df-bi 210  df-an 402  df-or 862  df-ex 1813  df-ral 3082  df-rex 3092

This theorem is used by: (None)