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Mirrors > Home > ILE Home > Th. List > mulrslid | Unicode version |
Description: Slot property of ![]() |
Ref | Expression |
---|---|
mulrslid |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-mulr 12542 |
. 2
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2 | 3nn 9077 |
. 2
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3 | 1, 2 | ndxslid 12479 |
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-13 2150 ax-14 2151 ax-ext 2159 ax-sep 4120 ax-pow 4173 ax-pr 4208 ax-un 4432 ax-cnex 7899 ax-resscn 7900 ax-1re 7902 ax-addrcl 7905 |
This theorem depends on definitions: df-bi 117 df-3an 980 df-tru 1356 df-nf 1461 df-sb 1763 df-eu 2029 df-mo 2030 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-ral 2460 df-rex 2461 df-v 2739 df-sbc 2963 df-un 3133 df-in 3135 df-ss 3142 df-pw 3577 df-sn 3598 df-pr 3599 df-op 3601 df-uni 3810 df-int 3845 df-br 4003 df-opab 4064 df-mpt 4065 df-id 4292 df-xp 4631 df-rel 4632 df-cnv 4633 df-co 4634 df-dm 4635 df-rn 4636 df-res 4637 df-iota 5177 df-fun 5217 df-fv 5223 df-ov 5875 df-inn 8916 df-2 8974 df-3 8975 df-ndx 12457 df-slot 12458 df-mulr 12542 |
This theorem is referenced by: rngmulrg 12588 ressmulrg 12595 srngmulrd 12599 ipsmulrd 12629 fnmgp 13063 mgpvalg 13064 mgpplusgg 13065 mgpex 13066 mgpbasg 13067 mgpscag 13068 mgptsetg 13069 mgpdsg 13071 mgpress 13072 issrg 13079 isring 13114 ring1 13167 opprvalg 13172 opprmulfvalg 13173 opprex 13176 opprsllem 13177 cnfldmul 13330 |
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