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Mirrors > Home > ILE Home > Th. List > nfcsb1v | GIF version |
Description: Bound-variable hypothesis builder for substitution into a class. (Contributed by NM, 17-Aug-2006.) (Revised by Mario Carneiro, 12-Oct-2016.) |
Ref | Expression |
---|---|
nfcsb1v | ⊢ Ⅎ𝑥⦋𝐴 / 𝑥⦌𝐵 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcv 2279 | . 2 ⊢ Ⅎ𝑥𝐴 | |
2 | 1 | nfcsb1 3029 | 1 ⊢ Ⅎ𝑥⦋𝐴 / 𝑥⦌𝐵 |
Colors of variables: wff set class |
Syntax hints: Ⅎwnfc 2266 ⦋csb 2998 |
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 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2119 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-nfc 2268 df-sbc 2905 df-csb 2999 |
This theorem is referenced by: csbhypf 3033 csbiebt 3034 sbcnestgf 3046 csbnest1g 3050 cbvralcsf 3057 cbvrexcsf 3058 cbvreucsf 3059 cbvrabcsf 3060 csbing 3278 disjnims 3916 disjiun 3919 sbcbrg 3977 moop2 4168 pofun 4229 eusvnf 4369 opeliunxp 4589 elrnmpt1 4785 resmptf 4864 csbima12g 4895 fvmpts 5492 fvmpt2 5497 mptfvex 5499 fmptco 5579 fmptcof 5580 fmptcos 5581 elabrex 5652 fliftfuns 5692 csbov123g 5802 ovmpos 5887 mpomptsx 6088 dmmpossx 6090 fmpox 6091 mpofvex 6094 fmpoco 6106 dfmpo 6113 f1od2 6125 disjxp1 6126 eqerlem 6453 qliftfuns 6506 mptelixpg 6621 xpf1o 6731 iunfidisj 6827 seq3f1olemstep 10267 seq3f1olemp 10268 nfsum1 11118 sumeq2 11121 sumfct 11136 sumrbdclem 11138 summodclem3 11142 summodclem2a 11143 zsumdc 11146 fsumgcl 11148 fsum3 11149 isumss 11153 isumss2 11155 fsum3cvg2 11156 fsumzcl2 11167 fsumsplitf 11170 sumsnf 11171 sumsns 11177 fsumsplitsnun 11181 fsum2dlemstep 11196 fisumcom2 11200 fsumshftm 11207 fisum0diag2 11209 fsummulc2 11210 fsum00 11224 fsumabs 11227 fsumrelem 11233 fsumiun 11239 isumshft 11252 mertenslem2 11298 nfcprod1 11316 prodeq2 11319 prodrbdclem 11333 ctiunctlemudc 11939 ctiunctlemf 11940 ctiunct 11942 iuncld 12273 fsumcncntop 12714 limcmpted 12790 |
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