Theorem eumoOLD 2637

Description: Obsolete proof of eumo 2636 as of 19-Feb-2022. (Contributed by NM, 23-Mar-1995.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion

Ref	Expression
eumoOLD	⊢ (∃!𝑥𝜑 → ∃*𝑥𝜑)

Proof of Theorem eumoOLD

Step	Hyp	Ref	Expression
1		eu5 2633	. 2 ⊢ (∃!𝑥𝜑 ↔ (∃𝑥𝜑 ∧ ∃*𝑥𝜑))
2	1	simprbi 483	1 ⊢ (∃!𝑥𝜑 → ∃*𝑥𝜑)

Syntax hints:   → wi 4  ∃wex 1853  ∃!weu 2607  ∃*wmo 2608

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1871  ax-4 1886  ax-5 1988  ax-6 2054

This theorem depends on definitions:  df-bi 197  df-an 385  df-ex 1854  df-eu 2611  df-mo 2612

This theorem is referenced by: (None)