Theorem ax11w 1826

Description: Weak version of ax-11 1842 from which we can prove any ax-11 1842 instance not involving wff variables or bundling. Uses only Tarski's FOL axiom schemes. Unlike ax-11 1842, this theorem requires that and be distinct i.e. are not bundled. (Contributed by NM, 10-Apr-2017.)

Hypothesis

Ref	Expression
ax11w.1

Assertion

Ref	Expression
ax11w

Distinct variable groups:   ,   ,   ,   ,

Proof of Theorem ax11w

Step	Hyp	Ref	Expression
1		ax11w.1	. 2
2	1	alcomiw 1811	1

Syntax hints:  ->wi 4  <->wb 184  A.wal 1393

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790

This theorem depends on definitions:  df-bi 185  df-ex 1613