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Mirrors > Home > ILE Home > Th. List > fvmptd3 | Unicode version |
Description: Deduction version of fvmpt 5557. (Contributed by Glauco Siliprandi, 23-Oct-2021.) |
Ref | Expression |
---|---|
fvmptd3.1 | |
fvmptd3.2 | |
fvmptd3.3 | |
fvmptd3.4 |
Ref | Expression |
---|---|
fvmptd3 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | fvmptd3.3 | . 2 | |
2 | fvmptd3.4 | . 2 | |
3 | nfcv 2306 | . . 3 | |
4 | nfcv 2306 | . . 3 | |
5 | fvmptd3.2 | . . 3 | |
6 | fvmptd3.1 | . . 3 | |
7 | 3, 4, 5, 6 | fvmptf 5572 | . 2 |
8 | 1, 2, 7 | syl2anc 409 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1342 wcel 2135 cmpt 4037 cfv 5182 |
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-io 699 ax-5 1434 ax-7 1435 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-10 1492 ax-11 1493 ax-i12 1494 ax-bndl 1496 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-i5r 1522 ax-14 2138 ax-ext 2146 ax-sep 4094 ax-pow 4147 ax-pr 4181 |
This theorem depends on definitions: df-bi 116 df-3an 969 df-tru 1345 df-nf 1448 df-sb 1750 df-eu 2016 df-mo 2017 df-clab 2151 df-cleq 2157 df-clel 2160 df-nfc 2295 df-ral 2447 df-rex 2448 df-v 2723 df-sbc 2947 df-csb 3041 df-un 3115 df-in 3117 df-ss 3124 df-pw 3555 df-sn 3576 df-pr 3577 df-op 3579 df-uni 3784 df-br 3977 df-opab 4038 df-mpt 4039 df-id 4265 df-xp 4604 df-rel 4605 df-cnv 4606 df-co 4607 df-dm 4608 df-iota 5147 df-fun 5184 df-fv 5190 |
This theorem is referenced by: ofvalg 6053 fival 6926 inl11 7021 djuss 7026 ctmlemr 7064 ctssdclemn0 7066 ctssdc 7069 enumctlemm 7070 nninfisollemne 7086 nninfisol 7088 fodjum 7101 fodju0 7102 ismkvnex 7110 cc2lem 7198 xrnegiso 11189 summodclem3 11307 fsumf1o 11317 fsum3ser 11324 fsumadd 11333 sumsnf 11336 prodfdivap 11474 prodmodclem3 11502 prodmodclem2a 11503 fprodseq 11510 fprodf1o 11515 prodsnf 11519 fprodshft 11545 fprodrev 11546 eulerthlemh 12142 eulerthlemth 12143 phisum 12151 ennnfonelemjn 12278 ennnfonelemp1 12282 ctiunctlemfo 12315 nninfdclemf 12327 nninfdclemp1 12328 ntrval 12657 clsval 12658 cnpval 12745 upxp 12819 uptx 12821 txlm 12826 cnmpt11 12830 cnmpt21 12838 ispsmet 12870 mopnval 12989 bdxmet 13048 cncfmptc 13129 cncfmptid 13130 addccncf 13133 negcncf 13135 ivthdec 13169 limcmpted 13179 cnmptlimc 13190 dvrecap 13224 dveflem 13234 dvef 13235 subctctexmid 13722 nninffeq 13741 trilpolemclim 13756 trilpolemcl 13757 trilpolemisumle 13758 trilpolemeq1 13760 trilpolemlt1 13761 iswomni0 13771 dceqnconst 13779 dcapnconst 13780 nconstwlpolemgt0 13783 |
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