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Mirrors > Home > MPE Home > Th. List > sbequ12a | Structured version Visualization version Unicode version |
Description: An equality theorem for substitution. (Contributed by NM, 2-Jun-1993.) (Proof shortened by Wolf Lammen, 23-Jun-2019.) |
Ref | Expression |
---|---|
sbequ12a |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sbequ12r 2085 |
. 2
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2 | sbequ12 2084 |
. 2
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3 | 1, 2 | bitr2d 262 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1673 ax-4 1686 ax-5 1762 ax-6 1809 ax-7 1855 ax-12 1937 |
This theorem depends on definitions: df-bi 190 df-an 377 df-ex 1668 df-sb 1802 |
This theorem is referenced by: sbco3 2247 sb9 2256 |
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