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Mirrors > Home > ILE Home > Th. List > addid2 | Unicode version |
Description: ![]() |
Ref | Expression |
---|---|
addid2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 0cn 7782 |
. . 3
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2 | addcom 7923 |
. . 3
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3 | 1, 2 | mpan2 422 |
. 2
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4 | addid1 7924 |
. 2
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5 | 3, 4 | eqtr3d 2175 |
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 105 ax-ia2 106 ax-ia3 107 ax-5 1424 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-4 1488 ax-17 1507 ax-ial 1515 ax-ext 2122 ax-1cn 7737 ax-icn 7739 ax-addcl 7740 ax-mulcl 7742 ax-addcom 7744 ax-i2m1 7749 ax-0id 7752 |
This theorem depends on definitions: df-bi 116 df-cleq 2133 df-clel 2136 |
This theorem is referenced by: readdcan 7926 addid2i 7929 addid2d 7936 cnegexlem1 7961 cnegexlem2 7962 addcan 7966 negneg 8036 fzoaddel2 10001 divfl0 10100 modqid 10153 sumrbdclem 11178 summodclem2a 11182 fisum0diag2 11248 eftlub 11433 gcdid 11710 ptolemy 12953 |
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