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Mirrors > Home > ILE Home > Th. List > zfinf2 | Unicode version |
Description: A standard version of the Axiom of Infinity, using definitions to abbreviate. Axiom Inf of [BellMachover] p. 472. (Contributed by NM, 30-Aug-1993.) |
Ref | Expression |
---|---|
zfinf2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-iinf 4559 | . 2 | |
2 | df-ral 2447 | . . . 4 | |
3 | 2 | anbi2i 453 | . . 3 |
4 | 3 | exbii 1592 | . 2 |
5 | 1, 4 | mpbir 145 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wal 1340 wex 1479 wcel 2135 wral 2442 c0 3404 csuc 4337 |
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-5 1434 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-4 1497 ax-ial 1521 ax-iinf 4559 |
This theorem depends on definitions: df-bi 116 df-ral 2447 |
This theorem is referenced by: omex 4564 |
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