Theorem nfeqf1 2043

Description: An equation between setvar is free of any other setvar. (Contributed by Wolf Lammen, 10-Jun-2019.)

Assertion

Ref	Expression
nfeqf1

Distinct variable group:   ,

Proof of Theorem nfeqf1

Step	Hyp	Ref	Expression
1		nfeqf2 2041	. 2
2		equcom 1794	. . 3
3	2	nfbii 1644	. 2
4	1, 3	sylib 196	1

Syntax hints:  -.wn 3  ->wi 4  A.wal 1393  F/wnf 1616

This theorem is referenced by:  dveeq1  2044  sbal2  2205  nfeud2  2296  wl-mo2dnae  30019

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  ax-10 1837  ax-12 1854  ax-13 1999

This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1613  df-nf 1617