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Mirrors > Home > ILE Home > Th. List > csbconstg | Unicode version |
Description: Substitution doesn't affect a constant (in which is not free). csbconstgf 2863 with distinct variable requirement. (Contributed by Alan Sare, 22-Jul-2012.) |
Ref | Expression |
---|---|
csbconstg |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcv 2178 | . 2 | |
2 | 1 | csbconstgf 2863 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1243 wcel 1393 csb 2852 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-tru 1246 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-v 2559 df-sbc 2765 df-csb 2853 |
This theorem is referenced by: sbcel1g 2869 sbceq1g 2870 sbcel2g 2871 sbceq2g 2872 csbidmg 2902 sbcbr12g 3814 sbcbr1g 3815 sbcbr2g 3816 sbcrel 4426 csbcnvg 4519 csbresg 4615 sbcfung 4925 csbfv12g 5209 csbfv2g 5210 csbov12g 5544 csbov1g 5545 csbov2g 5546 |
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