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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 2986 with distinct variable requirement. (Contributed by Alan Sare, 22-Jul-2012.) |
Ref | Expression |
---|---|
csbconstg |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcv 2258 | . 2 | |
2 | 1 | csbconstgf 2986 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1316 wcel 1465 csb 2975 |
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 683 ax-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-10 1468 ax-11 1469 ax-i12 1470 ax-bndl 1471 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-tru 1319 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-nfc 2247 df-v 2662 df-sbc 2883 df-csb 2976 |
This theorem is referenced by: sbcel1g 2992 sbceq1g 2993 sbcel2g 2994 sbceq2g 2995 csbidmg 3026 sbcbr12g 3953 sbcbr1g 3954 sbcbr2g 3955 sbcrel 4595 csbcnvg 4693 csbresg 4792 sbcfung 5117 csbfv12g 5425 csbfv2g 5426 elfvmptrab 5484 csbov12g 5778 csbov1g 5779 csbov2g 5780 |
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