Theorem nexdv 1321

Description: Deduction for generalization rule for negated wff.

Hypothesis

Ref	Expression
nexdv.1	|- (ph -> -. ps)

Assertion

Ref	Expression
nexdv	|- (ph -> -. E.xps)

Distinct variable group:   ph,x

Proof of Theorem nexdv

Step	Hyp	Ref	Expression
1		ax-17 968	. 2 |- (ph -> A.xph)
2		nexdv.1	. 2 |- (ph -> -. ps)
3	1, 2	nexd 1098	1 |- (ph -> -. E.xps)

Syntax hints:  -. wn 2   -> wi 3  E.wex 977

This theorem is referenced by:  sbc2or 1948  relimasn 3409  fvprc 3706  fvopabn 3771  genpnnp 5080  dffsum 6936  dfisum 7127  efilcp 10445  efilcp2 10450

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 960  ax-17 968  ax-4 970  ax-5o 972

This theorem depends on definitions:  df-bi 147  df-ex 978

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