Theorem amosym1

Description: A symmetry with E* .

See negsym1 for more information. (Contributed by Anthony Hart, 13-Sep-2011)

	Ref	Expression
Assertion	amosym1	$$⊢{\exists }^{*}x{\exists }^{*}x\perp \to {\exists }^{*}x\phi$$

Proof

Step	Hyp	Ref	Expression
1		mofal	$$⊢{\exists }^{*}x\perp$$
2	1	a1i	$$⊢\phi \to {\exists }^{*}x\perp$$
3	2	moimi	$$⊢{\exists }^{*}x{\exists }^{*}x\perp \to {\exists }^{*}x\phi$$