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Mirrors > Home > ILE Home > Th. List > sb56 | Unicode version |
Description: Two equivalent ways of
expressing the proper substitution of ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
sb56 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hba1 1501 |
. 2
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2 | ax11v 1779 |
. . 3
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3 | ax-4 1468 |
. . . 4
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4 | 3 | com12 30 |
. . 3
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5 | 2, 4 | impbid 128 |
. 2
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6 | 1, 5 | equsex 1687 |
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-5 1404 ax-gen 1406 ax-ie1 1450 ax-ie2 1451 ax-8 1463 ax-11 1465 ax-4 1468 ax-17 1487 ax-i9 1491 ax-ial 1495 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: sb6 1838 sb5 1839 alexeq 2779 dfdif3 3150 |
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