Theorem amosym1

Description: A symmetry with E* .

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

	Ref	Expression
Assertion	amosym1	⊢ ( ∃* 𝑥 ∃* 𝑥 ⊥ → ∃* 𝑥 𝜑 )

Proof

Step	Hyp	Ref	Expression
1		mofal	⊢ ∃* 𝑥 ⊥
2	1	a1i	⊢ ( 𝜑 → ∃* 𝑥 ⊥ )
3	2	moimi	⊢ ( ∃* 𝑥 ∃* 𝑥 ⊥ → ∃* 𝑥 𝜑 )