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Theorem sbi2 2064
Description: Introduction of implication into substitution. (Contributed by NM, 5-Aug-1993.)
Assertion
Ref Expression
sbi2

Proof of Theorem sbi2
StepHypRef Expression
1 sbn 2062 . . 3
2 pm2.21 100 . . . 4
32sbimi 1652 . . 3
41, 3sylbir 204 . 2
5 ax-1 5 . . 3
65sbimi 1652 . 2
74, 6ja 153 1
Colors of variables: wff set class
Syntax hints:   wn 3   wi 4  wsb 1648
This theorem is referenced by:  sbim  2065
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1925
This theorem depends on definitions:  df-bi 177  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649
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