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Mirrors > Home > MPE Home > Th. List > sbid2 | Structured version Visualization version Unicode version |
Description: An identity law for substitution. (Contributed by NM, 14-May-1993.) (Revised by Mario Carneiro, 6-Oct-2016.) |
Ref | Expression |
---|---|
sbid2.1 |
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Ref | Expression |
---|---|
sbid2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sbco 2243 |
. 2
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2 | sbid2.1 |
. . 3
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3 | 2 | sbf 2211 |
. 2
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4 | 1, 3 | bitri 253 |
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 1671 ax-4 1684 ax-5 1760 ax-6 1807 ax-7 1853 ax-10 1917 ax-12 1935 ax-13 2093 |
This theorem depends on definitions: df-bi 189 df-or 372 df-an 373 df-ex 1666 df-nf 1670 df-sb 1800 |
This theorem is referenced by: sbtrt 2251 sbid2v 2288 |
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