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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 3062 with distinct variable requirement. (Contributed by Alan Sare, 22-Jul-2012.) |
Ref | Expression |
---|---|
csbconstg |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcv 2312 | . 2 | |
2 | 1 | csbconstgf 3062 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1348 wcel 2141 csb 3049 |
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 704 ax-5 1440 ax-7 1441 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-8 1497 ax-10 1498 ax-11 1499 ax-i12 1500 ax-bndl 1502 ax-4 1503 ax-17 1519 ax-i9 1523 ax-ial 1527 ax-i5r 1528 ax-ext 2152 |
This theorem depends on definitions: df-bi 116 df-tru 1351 df-nf 1454 df-sb 1756 df-clab 2157 df-cleq 2163 df-clel 2166 df-nfc 2301 df-v 2732 df-sbc 2956 df-csb 3050 |
This theorem is referenced by: sbcel1g 3068 sbceq1g 3069 sbcel2g 3070 sbceq2g 3071 csbidmg 3105 sbcbr12g 4044 sbcbr1g 4045 sbcbr2g 4046 sbcrel 4697 csbcnvg 4795 csbresg 4894 sbcfung 5222 csbfv12g 5532 csbfv2g 5533 elfvmptrab 5591 csbov12g 5892 csbov1g 5893 csbov2g 5894 |
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