Theorem sconntop

Description: A simply connected space is a topology. (Contributed by Mario Carneiro, 11-Feb-2015)

	Ref	Expression
Assertion	sconntop	$$⊢J\in \mathrm{SConn}\to J\in \mathrm{Top}$$

Proof

Step	Hyp	Ref	Expression
1		sconnpconn	$$⊢J\in \mathrm{SConn}\to J\in \mathrm{PConn}$$
2		pconntop	$$⊢J\in \mathrm{PConn}\to J\in \mathrm{Top}$$
3	1 2	syl	$$⊢J\in \mathrm{SConn}\to J\in \mathrm{Top}$$