Theorem lringring

Description: A local ring is a ring. (Contributed by Jim Kingdon, 20-Feb-2025) (Revised by SN, 23-Feb-2025)

	Ref	Expression
Assertion	lringring	Could not format assertion : No typesetting found for |- ( R e. LRing -> R e. Ring ) with typecode |-

Proof

Step	Hyp	Ref	Expression
1		lringnzr	Could not format ( R e. LRing -> R e. NzRing ) : No typesetting found for |- ( R e. LRing -> R e. NzRing ) with typecode |-
2		nzrring	$$⊢R\in \mathrm{NzRing}\to R\in \mathrm{Ring}$$
3	1 2	syl	Could not format ( R e. LRing -> R e. Ring ) : No typesetting found for |- ( R e. LRing -> R e. Ring ) with typecode |-