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Mirrors > Home > ILE Home > Th. List > ax-nul | Unicode version |
Description: The Null Set Axiom of IZF set theory. It was derived as axnul 4114 above and is therefore redundant, but we state it as a separate axiom here so that its uses can be identified more easily. Axiom 4 of [Crosilla] p. "Axioms of CZF and IZF". (Contributed by NM, 7-Aug-2003.) |
Ref | Expression |
---|---|
ax-nul |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | vy | . . . . 5 | |
2 | vx | . . . . 5 | |
3 | 1, 2 | wel 2142 | . . . 4 |
4 | 3 | wn 3 | . . 3 |
5 | 4, 1 | wal 1346 | . 2 |
6 | 5, 2 | wex 1485 | 1 |
Colors of variables: wff set class |
This axiom is referenced by: 0ex 4116 dtruarb 4177 |
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