Theorem jaob 783

Description: Disjunction of antecedents. Compare Theorem *4.77 of [WhiteheadRussell] p. 121. (Contributed by NM, 30-May-1994.) (Proof shortened by Wolf Lammen, 9-Dec-2012.)

Assertion

Ref	Expression
jaob

Proof of Theorem jaob

Step	Hyp	Ref	Expression
1		pm2.67-2 402	. . 3
2		olc 384	. . . 4
3	2	imim1i 58	. . 3
4	1, 3	jca 532	. 2
5		pm3.44 511	. 2
6	4, 5	impbii 188	1

Syntax hints:  ->wi 4  <->wb 184  \/wo 368  /\wa 369

This theorem is referenced by:  pm4.77  787  pm5.53  796  pm4.83  929  axio  2425  unss  3677  ralunb  3684  intun  4319  intpr  4320  relop  5158  sqrt2irr  13982  algcvgblem  14206  efgred  16766  caucfil  21722  plydivex  22693  2sqlem6  23644  arg-ax  29881  tendoeq2  36500  bj-ifidg  37707

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 185  df-or 370  df-an 371