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Mirrors > Home > ILE Home > Th. List > cbvmo | Unicode version |
Description: Rule used to change bound variables, using implicit substitution. (Contributed by NM, 9-Mar-1995.) (Revised by Andrew Salmon, 8-Jun-2011.) |
Ref | Expression |
---|---|
cbvmo.1 |
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cbvmo.2 |
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cbvmo.3 |
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Ref | Expression |
---|---|
cbvmo |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cbvmo.1 |
. . . 4
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2 | cbvmo.2 |
. . . 4
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3 | cbvmo.3 |
. . . 4
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4 | 1, 2, 3 | cbvex 1767 |
. . 3
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5 | 1, 2, 3 | cbveu 2062 |
. . 3
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6 | 4, 5 | imbi12i 239 |
. 2
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7 | df-mo 2042 |
. 2
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8 | df-mo 2042 |
. 2
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9 | 6, 7, 8 | 3bitr4i 212 |
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-io 710 ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-10 1516 ax-11 1517 ax-i12 1518 ax-bndl 1520 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 |
This theorem depends on definitions: df-bi 117 df-tru 1367 df-nf 1472 df-sb 1774 df-eu 2041 df-mo 2042 |
This theorem is referenced by: dffun6f 5245 |
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