Theorem rspsbca 3418

Description: Restricted quantifier version of Axiom 4 of [Mendelson] p. 69. (Contributed by NM, 14-Dec-2005.)

Assertion

Ref	Expression
rspsbca

Distinct variable group:   ,

Proof of Theorem rspsbca

Step	Hyp	Ref	Expression
1		rspsbc 3417	. 2
2	1	imp 429	1

Syntax hints:  ->wi 4  /\wa 369  e.wcel 1818  A.wral 2807  [.wsbc 3327

This theorem is referenced by:  telgsums  17022

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-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-v 3111  df-sbc 3328