**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 2091 ("o" for "old") and was
replaced with this shorter ax-10 2092 in May 2008. The old axiom is proved
from this one as theorem ax10o 1905. Conversely, this axiom is proved from
ax-10o 2091 as theorem ax10from10o 2129.
This axiom was proved redundant in July 2015. See theorem ax10 1897.
This axiom is obsolete and should no longer be used. It is proved above
as theorem ax10 1897. (Contributed by NM, 16-May-2008.)
(New usage is discouraged.) |