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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 1540 |
. 2
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2 | ax11v 1827 |
. . 3
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3 | ax-4 1510 |
. . . 4
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4 | 3 | com12 30 |
. . 3
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5 | 2, 4 | impbid 129 |
. 2
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6 | 1, 5 | equsex 1728 |
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 106 ax-ia2 107 ax-ia3 108 ax-5 1447 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-11 1506 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 |
This theorem depends on definitions: df-bi 117 |
This theorem is referenced by: sb6 1886 sb5 1887 alexeq 2863 dfdif3 3245 |
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