**Description: **Axiom of Quantifier
Introduction. One of the equality and substitution
axioms for a non-logical predicate in our predicate calculus with
equality. Axiom scheme C14' in [Megill]
p. 448 (p. 16 of the preprint).
It is redundant if we include ax-17 1626; see theorem ax15 2101.
Alternately,
ax-17 1626 becomes unnecessary in principle with this
axiom, but we lose the
more powerful metalogic afforded by ax-17 1626. We retain ax-15 2219 here to
provide completeness for systems with the simpler metalogic that results
from omitting ax-17 1626, which might be easier to study for some
theoretical purposes.
This axiom is obsolete and should no longer be used. It is proved above
as theorem ax15 2101. (Contributed by NM, 5-Aug-1993.)
(New usage is discouraged.) |