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Mirrors > Home > ILE Home > Th. List > sbequ2 | Unicode version |
Description: An equality theorem for substitution. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
sbequ2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-sb 1750 | . 2 | |
2 | simpl 108 | . . 3 | |
3 | 2 | com12 30 | . 2 |
4 | 1, 3 | syl5bi 151 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wex 1479 wsb 1749 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 |
This theorem depends on definitions: df-bi 116 df-sb 1750 |
This theorem is referenced by: stdpc7 1757 sbequ12 1758 sbequi 1826 mo23 2054 mopick 2091 |
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