Theorem hmphsymb

Description: "Is homeomorphic to" is symmetric. (Contributed by FL, 22-Feb-2007)

	Ref	Expression
Assertion	hmphsymb	$$⊢J\simeq K\leftrightarrow K\simeq J$$

Proof

Step	Hyp	Ref	Expression
1		hmphsym	$$⊢J\simeq K\to K\simeq J$$
2		hmphsym	$$⊢K\simeq J\to J\simeq K$$
3	1 2	impbii	$$⊢J\simeq K\leftrightarrow K\simeq J$$