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Mirrors > Home > MPE Home > Th. List > sbcom3 | Structured version Visualization version Unicode version |
Description: Substituting ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
sbcom3 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfa1 1979 |
. . 3
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2 | drsb2 2207 |
. . 3
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3 | 1, 2 | sbbid 2232 |
. 2
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4 | sb4b 2188 |
. . . 4
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5 | sbequ 2205 |
. . . . . 6
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6 | 5 | pm5.74i 249 |
. . . . 5
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7 | 6 | albii 1691 |
. . . 4
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8 | 4, 7 | syl6bb 265 |
. . 3
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9 | sb4b 2188 |
. . 3
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10 | 8, 9 | bitr4d 260 |
. 2
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11 | 3, 10 | pm2.61i 168 |
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 1669 ax-4 1682 ax-5 1758 ax-6 1805 ax-7 1851 ax-10 1915 ax-12 1933 ax-13 2091 |
This theorem depends on definitions: df-bi 189 df-or 372 df-an 373 df-ex 1664 df-nf 1668 df-sb 1798 |
This theorem is referenced by: sbco 2241 sbidm 2243 sbcom 2247 equsb3 2261 wl-equsb3 31884 |
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