Theorem spimv 2009

Description: A version of spim 2006 with a distinct variable requirement instead of a bound variable hypothesis. (Contributed by NM, 31-Jul-1993.)

Hypothesis

Ref	Expression
spimv.1

Assertion

Ref	Expression
spimv

Distinct variable group:   ,

Proof of Theorem spimv

Step	Hyp	Ref	Expression
1		nfv 1707	. 2
2		spimv.1	. 2
3	1, 2	spim 2006	1

Syntax hints:  ->wi 4  A.wal 1393

This theorem is referenced by:  spv  2011  aevOLD  2062  aevALT  2063  axc16i  2064  aev-o  2261  reu6  3288  el  4634  axc11next  31313

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