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Mirrors > Home > ILE Home > Th. List > Mathboxes > bj-intabssel | Unicode version |
Description: Version of intss1 3756 using a class abstraction and explicit substitution. (Contributed by BJ, 29-Nov-2019.) |
Ref | Expression |
---|---|
bj-intabssel.nf |
Ref | Expression |
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bj-intabssel |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bj-intabssel.nf | . . 3 | |
2 | 1 | nfsbc1 2899 | . . 3 |
3 | sbceq1a 2891 | . . 3 | |
4 | 1, 2, 3 | elabgf 2800 | . 2 |
5 | intss1 3756 | . 2 | |
6 | 4, 5 | syl6bir 163 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wcel 1465 cab 2103 wnfc 2245 wsbc 2882 wss 3041 cint 3741 |
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-in 3047 df-ss 3054 df-int 3742 |
This theorem is referenced by: (None) |
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