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Mirrors > Home > MPE Home > Th. List > axext2 | Structured version Visualization version Unicode version |
Description: The Axiom of Extensionality (ax-ext 2602) restated so that it postulates the existence of a set given two arbitrary sets and . This way to express it follows the general idea of the other ZFC axioms, which is to postulate the existence of sets given other sets. (Contributed by NM, 28-Sep-2003.) |
Ref | Expression |
---|---|
axext2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-ext 2602 | . 2 | |
2 | 19.36v 1904 | . 2 | |
3 | 1, 2 | mpbir 221 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wal 1481 wex 1704 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-ext 2602 |
This theorem depends on definitions: df-bi 197 df-ex 1705 |
This theorem is referenced by: (None) |
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