**Description: **Axiom of Quantifier
Substitution. One of the equality and substitution
axioms of predicate calculus with equality. Appears as Lemma L12 in
[Megill] p. 445 (p. 12 of the preprint).
The original version of this axiom was ax-10o 2187 ("o" for "old") and was
replaced with this shorter ax-10 2188 in May 2008. The old axiom is proved
from this one as theorem ax10o 2001. Conversely, this axiom is proved from
ax-10o 2187 as theorem ax10from10o 2225.
This axiom was proved redundant in July 2015. See theorem ax10 1991.
This axiom is obsolete and should no longer be used. It is proved above
as theorem ax10 1991. (Contributed by NM, 16-May-2008.)
(New usage is discouraged.) |