Theorem nfneg 9839

Description: Bound-variable hypothesis builder for the negative of a complex number. (Contributed by NM, 12-Jun-2005.) (Revised by Mario Carneiro, 15-Oct-2016.)

Hypothesis

Ref	Expression
nfneg.1

Assertion

Ref	Expression
nfneg

Proof of Theorem nfneg

Step	Hyp	Ref	Expression
1		nfneg.1	. . . 4
2	1	a1i 11	. . 3
3	2	nfnegd 9838	. 2
4	3	trud 1404	1

Syntax hints:  wtru 1396  F/_wnfc 2605  -ucneg 9829

This theorem is referenced by:  riotaneg  10543  zriotaneg  11002  infcvgaux1i  13668  mbfposb  22060  dvfsum2  22435  neglimc  31653  stoweidlem23  31805  stoweidlem47  31829

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-11 1842  ax-12 1854  ax-13 1999  ax-ext 2435

This theorem depends on definitions:  df-bi 185  df-or 370  df-an 371  df-3an 975  df-tru 1398  df-ex 1613  df-nf 1617  df-sb 1740  df-clab 2443  df-cleq 2449  df-clel 2452  df-nfc 2607  df-ral 2812  df-rex 2813  df-rab 2816  df-v 3111  df-dif 3478  df-un 3480  df-in 3482  df-ss 3489  df-nul 3785  df-if 3942  df-sn 4030  df-pr 4032  df-op 4036  df-uni 4250  df-br 4453  df-iota 5556  df-fv 5601  df-ov 6299  df-neg 9831