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Mirrors > Home > MPE Home > Th. List > ndxarg | Structured version Visualization version Unicode version |
Description: Get the numeric argument from a defined structure component extractor such as df-base 15863. (Contributed by Mario Carneiro, 6-Oct-2013.) |
Ref | Expression |
---|---|
ndxarg.1 | Slot |
ndxarg.2 |
Ref | Expression |
---|---|
ndxarg |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ndx 15860 | . . . 4 | |
2 | nnex 11026 | . . . . 5 | |
3 | resiexg 7102 | . . . . 5 | |
4 | 2, 3 | ax-mp 5 | . . . 4 |
5 | 1, 4 | eqeltri 2697 | . . 3 |
6 | ndxarg.1 | . . 3 Slot | |
7 | 5, 6 | strfvn 15879 | . 2 |
8 | 1 | fveq1i 6192 | . 2 |
9 | ndxarg.2 | . . 3 | |
10 | fvresi 6439 | . . 3 | |
11 | 9, 10 | ax-mp 5 | . 2 |
12 | 7, 8, 11 | 3eqtri 2648 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wceq 1483 wcel 1990 cvv 3200 cid 5023 cres 5116 cfv 5888 cn 11020 cnx 15854 Slot cslot 15856 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-8 1992 ax-9 1999 ax-10 2019 ax-11 2034 ax-12 2047 ax-13 2246 ax-ext 2602 ax-sep 4781 ax-nul 4789 ax-pow 4843 ax-pr 4906 ax-un 6949 ax-cnex 9992 ax-resscn 9993 ax-1cn 9994 ax-icn 9995 ax-addcl 9996 ax-addrcl 9997 ax-mulcl 9998 ax-mulrcl 9999 ax-i2m1 10004 ax-1ne0 10005 ax-rrecex 10008 ax-cnre 10009 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-3or 1038 df-3an 1039 df-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-eu 2474 df-mo 2475 df-clab 2609 df-cleq 2615 df-clel 2618 df-nfc 2753 df-ne 2795 df-ral 2917 df-rex 2918 df-reu 2919 df-rab 2921 df-v 3202 df-sbc 3436 df-csb 3534 df-dif 3577 df-un 3579 df-in 3581 df-ss 3588 df-pss 3590 df-nul 3916 df-if 4087 df-pw 4160 df-sn 4178 df-pr 4180 df-tp 4182 df-op 4184 df-uni 4437 df-iun 4522 df-br 4654 df-opab 4713 df-mpt 4730 df-tr 4753 df-id 5024 df-eprel 5029 df-po 5035 df-so 5036 df-fr 5073 df-we 5075 df-xp 5120 df-rel 5121 df-cnv 5122 df-co 5123 df-dm 5124 df-rn 5125 df-res 5126 df-ima 5127 df-pred 5680 df-ord 5726 df-on 5727 df-lim 5728 df-suc 5729 df-iota 5851 df-fun 5890 df-fn 5891 df-f 5892 df-f1 5893 df-fo 5894 df-f1o 5895 df-fv 5896 df-ov 6653 df-om 7066 df-wrecs 7407 df-recs 7468 df-rdg 7506 df-nn 11021 df-ndx 15860 df-slot 15861 |
This theorem is referenced by: ndxid 15883 ndxidOLD 15884 basendx 15923 basendxnn 15924 resslem 15933 plusgndx 15976 2strstr 15983 2strstr1 15986 2strop1 15988 basendxnplusgndx 15989 mulrndx 15996 basendxnmulrndx 15999 starvndx 16004 scandx 16013 vscandx 16015 ipndx 16022 tsetndx 16040 plendx 16047 plendxOLD 16048 ocndx 16060 dsndx 16062 unifndx 16064 homndx 16074 ccondx 16076 slotsbhcdif 16080 oppglem 17780 mgplem 18494 opprlem 18628 rmodislmod 18931 sralem 19177 opsrbaslem 19477 opsrbaslemOLD 19478 zlmlem 19865 znbaslem 19886 znbaslemOLD 19887 tnglem 22444 itvndx 25339 lngndx 25340 ttglem 25756 cchhllem 25767 edgfndxnn 25870 baseltedgf 25872 resvlem 29831 hlhilslem 37230 |
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