Theorem ringrngd

Description: A unital ring is a non-unital ring, deduction version. (Contributed by Thierry Arnoux, 15-Feb-2026)

	Ref	Expression
Hypothesis	ringrngd.1	|- ( ph -> R e. Ring )
Assertion	ringrngd	|- ( ph -> R e. Rng )

Proof

Step	Hyp	Ref	Expression
1		ringrngd.1	|- ( ph -> R e. Ring )
2		ringrng	|- ( R e. Ring -> R e. Rng )
3	1 2	syl	|- ( ph -> R e. Rng )