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Mirrors > Home > ILE Home > Th. List > 4p2e6 | Unicode version |
Description: 4 + 2 = 6. (Contributed by NM, 11-May-2004.) |
Ref | Expression |
---|---|
4p2e6 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-2 8964 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | 1 | oveq2i 5880 |
. . . 4
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3 | 4cn 8983 |
. . . . 5
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4 | ax-1cn 7892 |
. . . . 5
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5 | 3, 4, 4 | addassi 7953 |
. . . 4
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6 | 2, 5 | eqtr4i 2201 |
. . 3
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7 | df-5 8967 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
8 | 7 | oveq1i 5879 |
. . 3
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9 | 6, 8 | eqtr4i 2201 |
. 2
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10 | df-6 8968 |
. 2
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11 | 9, 10 | eqtr4i 2201 |
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 709 ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-10 1505 ax-11 1506 ax-i12 1507 ax-bndl 1509 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-ext 2159 ax-resscn 7891 ax-1cn 7892 ax-1re 7893 ax-addrcl 7896 ax-addass 7901 |
This theorem depends on definitions: df-bi 117 df-3an 980 df-tru 1356 df-nf 1461 df-sb 1763 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-rex 2461 df-v 2739 df-un 3133 df-in 3135 df-ss 3142 df-sn 3597 df-pr 3598 df-op 3600 df-uni 3808 df-br 4001 df-iota 5174 df-fv 5220 df-ov 5872 df-2 8964 df-3 8965 df-4 8966 df-5 8967 df-6 8968 |
This theorem is referenced by: 4p3e7 9049 div4p1lem1div2 9158 4t4e16 9468 6gcd4e2 11976 |
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