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Theorem sbieh 1673
 Description: Conversion of implicit substitution to explicit substitution. New proofs should use sbie 1674 instead. (Contributed by NM, 30-Jun-1994.) (New usage is discouraged.)
Hypotheses
Ref Expression
sbieh.1
sbieh.2
Assertion
Ref Expression
sbieh

Proof of Theorem sbieh
StepHypRef Expression
1 id 19 . 2
21hbth 1352 . . 3
3 sbieh.1 . . . 4
43a1i 9 . . 3
5 sbieh.2 . . . 4
65a1i 9 . . 3
72, 4, 6sbiedh 1670 . 2
81, 7ax-mp 7 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 98  wal 1241  wsb 1645 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-5 1336  ax-gen 1338  ax-ie1 1382  ax-ie2 1383  ax-4 1400  ax-i9 1423  ax-ial 1427 This theorem depends on definitions:  df-bi 110  df-sb 1646 This theorem is referenced by:  sbie  1674  sbco2vlem  1820  equsb3lem  1824  sbco2yz  1837  elsb3  1852  elsb4  1853  dvelimf  1891
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