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Theorem sbi1 2063
 Description: Removal of implication from substitution. (Contributed by NM, 5-Aug-1993.)
Assertion
Ref Expression
sbi1

Proof of Theorem sbi1
StepHypRef Expression
1 sbequ2 1650 . . . . 5
2 sbequ2 1650 . . . . 5
31, 2syl5d 62 . . . 4
4 sbequ1 1918 . . . 4
53, 4syl6d 64 . . 3
65sps 1754 . 2
7 sb4 2053 . . 3
8 sb4 2053 . . . 4
9 ax-2 7 . . . . . 6
109al2imi 1561 . . . . 5
11 sb2 2023 . . . . 5
1210, 11syl6 29 . . . 4
138, 12syl6 29 . . 3
147, 13syl5d 62 . 2
156, 14pm2.61i 156 1
 Colors of variables: wff setvar class Syntax hints:   wn 3   wi 4  wal 1540  wsb 1648 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 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 This theorem is referenced by:  sbim  2065  spsbim  2076
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