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Mirrors > Home > MPE Home > Th. List > Mathboxes > ax-riotaBAD | Structured version Visualization version Unicode version |
Description: Define restricted description binder. In case it doesn't exist, we return a set which is not a member of the domain of discourse . See also comments for df-iota 5851. (Contributed by NM, 15-Sep-2011.) (Revised by Mario Carneiro, 15-Oct-2016.) WARNING: THIS "AXIOM", WHICH IS THE OLD df-riota 6611, CONFLICTS WITH (THE NEW) df-riota 6611 AND MAKES THE SYSTEM IN set.mm INCONSISTENT. IT IS TEMPORARY AND WILL BE DELETED AFTER ALL USES ARE ELIMINATED. |
Ref | Expression |
---|---|
ax-riotaBAD |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | wph | . . 3 | |
2 | vx | . . 3 | |
3 | cA | . . 3 | |
4 | 1, 2, 3 | crio 6610 | . 2 |
5 | 1, 2, 3 | wreu 2914 | . . 3 |
6 | 2 | cv 1482 | . . . . . 6 |
7 | 6, 3 | wcel 1990 | . . . . 5 |
8 | 7, 1 | wa 384 | . . . 4 |
9 | 8, 2 | cio 5849 | . . 3 |
10 | 7, 2 | cab 2608 | . . . 4 |
11 | cund 7398 | . . . 4 | |
12 | 10, 11 | cfv 5888 | . . 3 |
13 | 5, 9, 12 | cif 4086 | . 2 |
14 | 4, 13 | wceq 1483 | 1 |
Colors of variables: wff setvar class |
This axiom is referenced by: riotaclbgBAD 34240 |
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