Theorem nfequid

Description: Bound-variable hypothesis builder for x = x . This theorem tells us that any variable, including x , is effectively not free in x = x , even though x is technically free according to the traditional definition of free variable. (Contributed by NM, 13-Jan-2011) (Revised by NM, 21-Aug-2017)

	Ref	Expression
Assertion	nfequid	$$⊢Ⅎyx=x$$

Proof

Step	Hyp	Ref	Expression
1		equid	$$⊢x=x$$
2	1	nfth	$$⊢Ⅎyx=x$$