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Mirrors > Home > ILE Home > Th. List > 5t2e10 | Unicode version |
Description: 5 times 2 equals 10. (Contributed by NM, 5-Feb-2007.) (Revised by AV, 4-Sep-2021.) |
Ref | Expression |
---|---|
5t2e10 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 5nn0 9260 |
. 2
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2 | 1nn0 9256 |
. 2
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3 | df-2 9041 |
. 2
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4 | 5cn 9062 |
. . 3
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5 | 4 | mulid1i 8021 |
. 2
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6 | 5p5e10 9518 |
. 2
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7 | 1, 2, 3, 5, 6 | 4t3lem 9544 |
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 ax-ext 2175 ax-sep 4147 ax-cnex 7963 ax-resscn 7964 ax-1cn 7965 ax-1re 7966 ax-icn 7967 ax-addcl 7968 ax-addrcl 7969 ax-mulcl 7970 ax-mulcom 7973 ax-addass 7974 ax-mulass 7975 ax-distr 7976 ax-1rid 7979 ax-0id 7980 ax-rnegex 7981 ax-cnre 7983 |
This theorem depends on definitions: df-bi 117 df-3an 982 df-tru 1367 df-nf 1472 df-sb 1774 df-clab 2180 df-cleq 2186 df-clel 2189 df-nfc 2325 df-ral 2477 df-rex 2478 df-rab 2481 df-v 2762 df-un 3157 df-in 3159 df-ss 3166 df-sn 3624 df-pr 3625 df-op 3627 df-uni 3836 df-int 3871 df-br 4030 df-iota 5215 df-fv 5262 df-ov 5921 df-inn 8983 df-2 9041 df-3 9042 df-4 9043 df-5 9044 df-6 9045 df-7 9046 df-8 9047 df-9 9048 df-n0 9241 df-dec 9449 |
This theorem is referenced by: 5t3e15 9548 ex-fac 15220 |
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