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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 3044 with distinct variable requirement. (Contributed by Alan Sare, 22-Jul-2012.) |
Ref | Expression |
---|---|
csbconstg |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcv 2299 | . 2 | |
2 | 1 | csbconstgf 3044 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1335 wcel 2128 csb 3031 |
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 699 ax-5 1427 ax-7 1428 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-8 1484 ax-10 1485 ax-11 1486 ax-i12 1487 ax-bndl 1489 ax-4 1490 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2139 |
This theorem depends on definitions: df-bi 116 df-tru 1338 df-nf 1441 df-sb 1743 df-clab 2144 df-cleq 2150 df-clel 2153 df-nfc 2288 df-v 2714 df-sbc 2938 df-csb 3032 |
This theorem is referenced by: sbcel1g 3050 sbceq1g 3051 sbcel2g 3052 sbceq2g 3053 csbidmg 3087 sbcbr12g 4020 sbcbr1g 4021 sbcbr2g 4022 sbcrel 4673 csbcnvg 4771 csbresg 4870 sbcfung 5195 csbfv12g 5505 csbfv2g 5506 elfvmptrab 5564 csbov12g 5861 csbov1g 5862 csbov2g 5863 |
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