Theorem moimi

Description: The at-most-one quantifier reverses implication. (Contributed by NM, 15-Feb-2006)

	Ref	Expression
Hypothesis	moimi.1	|- ( ph -> ps )
Assertion	moimi	|- ( E* x ps -> E* x ph )

Proof

Step	Hyp	Ref	Expression
1		moimi.1	|- ( ph -> ps )
2		moim	|- ( A. x ( ph -> ps ) -> ( E* x ps -> E* x ph ) )
3	2 1	mpg	|- ( E* x ps -> E* x ph )