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Mirrors > Home > ILE Home > Th. List > Mathboxes > ax-inf2 | Unicode version |
Description: Another axiom of infinity in a constructive setting (see ax-infvn 13936). (Contributed by BJ, 14-Nov-2019.) (New usage is discouraged.) |
Ref | Expression |
---|---|
ax-inf2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | vx | . . . . 5 | |
2 | va | . . . . 5 | |
3 | 1, 2 | wel 2142 | . . . 4 |
4 | 1 | cv 1347 | . . . . . 6 |
5 | c0 3414 | . . . . . 6 | |
6 | 4, 5 | wceq 1348 | . . . . 5 |
7 | vy | . . . . . . . . 9 | |
8 | 7 | cv 1347 | . . . . . . . 8 |
9 | 8 | csuc 4348 | . . . . . . 7 |
10 | 4, 9 | wceq 1348 | . . . . . 6 |
11 | 2 | cv 1347 | . . . . . 6 |
12 | 10, 7, 11 | wrex 2449 | . . . . 5 |
13 | 6, 12 | wo 703 | . . . 4 |
14 | 3, 13 | wb 104 | . . 3 |
15 | 14, 1 | wal 1346 | . 2 |
16 | 15, 2 | wex 1485 | 1 |
Colors of variables: wff set class |
This axiom is referenced by: bj-omex2 13972 bj-nn0sucALT 13973 |
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