Theorem cbvaliw 1788

Description: Change bound variable. Uses only Tarski's FOL axiom schemes. Part of Lemma 7 of [KalishMontague] p. 86. (Contributed by NM, 19-Apr-2017.)

Hypotheses

Ref	Expression
cbvaliw.1
cbvaliw.2
cbvaliw.3

Assertion

Ref	Expression
cbvaliw

Distinct variable group:   ,

Proof of Theorem cbvaliw

Step	Hyp	Ref	Expression
1		cbvaliw.1	. 2
2		cbvaliw.2	. . 3
3		cbvaliw.3	. . 3
4	2, 3	spimw 1783	. 2
5	1, 4	alrimih 1642	1

Syntax hints:  -.wn 3  ->wi 4  A.wal 1393

This theorem is referenced by:  cbvalw  1808

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-6 1747

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