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Mirrors > Home > ILE Home > Th. List > sbmo | Unicode version |
Description: Substitution into "at most one". (Contributed by Jeff Madsen, 2-Sep-2009.) |
Ref | Expression |
---|---|
sbmo |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1509 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() | |
2 | 1 | sblim 1931 |
. . . . 5
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3 | sban 1929 |
. . . . . 6
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4 | 3 | imbi1i 237 |
. . . . 5
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5 | sbcom2 1963 |
. . . . . . 7
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6 | 5 | anbi2i 453 |
. . . . . 6
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7 | 6 | imbi1i 237 |
. . . . 5
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8 | 2, 4, 7 | 3bitri 205 |
. . . 4
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9 | 8 | sbalv 1981 |
. . 3
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10 | 9 | sbalv 1981 |
. 2
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11 | nfv 1509 |
. . . 4
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12 | 11 | mo3 2054 |
. . 3
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13 | 12 | sbbii 1739 |
. 2
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14 | nfv 1509 |
. . 3
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15 | 14 | mo3 2054 |
. 2
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16 | 10, 13, 15 | 3bitr4i 211 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 699 ax-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-10 1484 ax-11 1485 ax-i12 1486 ax-bndl 1487 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-i5r 1516 |
This theorem depends on definitions: df-bi 116 df-nf 1438 df-sb 1737 df-eu 2003 df-mo 2004 |
This theorem is referenced by: (None) |
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