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Mirrors > Home > ILE Home > Th. List > nfsb2or | Unicode version |
Description: Bound-variable hypothesis builder for substitution. Similar to hbsb2 1771 but in intuitionistic logic a disjunction is stronger than an implication. (Contributed by Jim Kingdon, 2-Feb-2018.) |
Ref | Expression |
---|---|
nfsb2or |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sb4or 1768 |
. 2
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2 | sb2 1704 |
. . . . . . 7
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3 | 2 | a5i 1487 |
. . . . . 6
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4 | 3 | imim2i 12 |
. . . . 5
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5 | 4 | alimi 1396 |
. . . 4
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6 | df-nf 1402 |
. . . 4
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7 | 5, 6 | sylibr 133 |
. . 3
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8 | 7 | orim2i 716 |
. 2
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9 | 1, 8 | ax-mp 7 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 668 ax-5 1388 ax-7 1389 ax-gen 1390 ax-ie1 1434 ax-ie2 1435 ax-8 1447 ax-10 1448 ax-11 1449 ax-i12 1450 ax-4 1452 ax-17 1471 ax-i9 1475 ax-ial 1479 ax-i5r 1480 |
This theorem depends on definitions: df-bi 116 df-nf 1402 df-sb 1700 |
This theorem is referenced by: sbequi 1774 |
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