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Mirrors > Home > ILE Home > Th. List > sbieh | Unicode version |
Description: Conversion of implicit substitution to explicit substitution. New proofs should use sbie 1671 instead. (Contributed by NM, 30-Jun-1994.) (New usage is discouraged.) |
Ref | Expression |
---|---|
sbieh.1 |
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sbieh.2 |
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Ref | Expression |
---|---|
sbieh |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | id 19 |
. 2
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2 | 1 | hbth 1349 |
. . 3
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3 | sbieh.1 |
. . . 4
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4 | 3 | a1i 9 |
. . 3
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5 | sbieh.2 |
. . . 4
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6 | 5 | a1i 9 |
. . 3
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7 | 2, 4, 6 | sbiedh 1667 |
. 2
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8 | 1, 7 | 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 99 ax-ia2 100 ax-ia3 101 ax-5 1333 ax-gen 1335 ax-ie1 1379 ax-ie2 1380 ax-4 1397 ax-i9 1420 ax-ial 1424 |
This theorem depends on definitions: df-bi 110 df-sb 1643 |
This theorem is referenced by: sbie 1671 sbco2vlem 1817 equsb3lem 1821 sbco2yz 1834 elsb3 1849 elsb4 1850 dvelimf 1888 |
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