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Mirrors > Home > ILE Home > Th. List > ax-iinf | Unicode version |
Description: Axiom of Infinity. Axiom 5 of [Crosilla] p. "Axioms of CZF and IZF". (Contributed by Jim Kingdon, 16-Nov-2018.) |
Ref | Expression |
---|---|
ax-iinf |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | c0 3414 | . . . 4 | |
2 | vx | . . . . 5 | |
3 | 2 | cv 1347 | . . . 4 |
4 | 1, 3 | wcel 2141 | . . 3 |
5 | vy | . . . . . 6 | |
6 | 5, 2 | wel 2142 | . . . . 5 |
7 | 5 | cv 1347 | . . . . . . 7 |
8 | 7 | csuc 4350 | . . . . . 6 |
9 | 8, 3 | wcel 2141 | . . . . 5 |
10 | 6, 9 | wi 4 | . . . 4 |
11 | 10, 5 | wal 1346 | . . 3 |
12 | 4, 11 | wa 103 | . 2 |
13 | 12, 2 | wex 1485 | 1 |
Colors of variables: wff set class |
This axiom is referenced by: zfinf2 4573 |
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