Theorem cnvcnvssOLD

Description: Obsolete version of cnvcnvss as of 10-Jun-2026. (Contributed by NM, 23-Jul-2004) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Assertion	cnvcnvssOLD	$$⊢{A^{-1}}^{-1}\subseteq A$$

Proof

Step	Hyp	Ref	Expression
1		cnvcnv	$$⊢{A^{-1}}^{-1}=A\cap \left(\mathrm{V}\times \mathrm{V}\right)$$
2		inss1	$$⊢A\cap \left(\mathrm{V}\times \mathrm{V}\right)\subseteq A$$
3	1 2	eqsstri	$$⊢{A^{-1}}^{-1}\subseteq A$$