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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 3010 with distinct variable requirement. (Contributed by Alan Sare, 22-Jul-2012.) |
Ref | Expression |
---|---|
csbconstg |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcv 2279 | . 2 | |
2 | 1 | csbconstgf 3010 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1331 wcel 1480 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-v 2683 df-sbc 2905 df-csb 2999 |
This theorem is referenced by: sbcel1g 3016 sbceq1g 3017 sbcel2g 3018 sbceq2g 3019 csbidmg 3051 sbcbr12g 3978 sbcbr1g 3979 sbcbr2g 3980 sbcrel 4620 csbcnvg 4718 csbresg 4817 sbcfung 5142 csbfv12g 5450 csbfv2g 5451 elfvmptrab 5509 csbov12g 5803 csbov1g 5804 csbov2g 5805 |
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