Theorem sbequ2 1741

Description: An equality theorem for substitution. (Contributed by NM, 16-May-1993.) (Proof shortened by Wolf Lammen, 25-Feb-2018.)

Assertion

Ref	Expression
sbequ2

Proof of Theorem sbequ2

Step	Hyp	Ref	Expression
1		df-sb 1740	. . 3
2	1	simplbi 460	. 2
3	2	com12 31	1

Syntax hints:  ->wi 4  /\wa 369  E.wex 1612  [wsb 1739

This theorem is referenced by:  stdpc7  1801  sbequ12  1992  dfsb2  2114  sbequi  2116  sbi1  2133  mo3OLD  2324  mopickOLD  2357  2pm13.193  33325  2pm13.193VD  33703

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-an 371  df-sb 1740