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Mirrors > Home > ILE Home > Th. List > df-iord | Unicode version |
Description: Define the ordinal predicate, which is true for a class that is transitive and whose elements are transitive. Definition of ordinal in [Crosilla], p. "Set-theoretic principles incompatible with intuitionistic logic". (Contributed by Jim Kingdon, 10-Oct-2018.) Use its alias dford3 4122 instead for naming consistency with set.mm. (New usage is discouraged.) |
Ref | Expression |
---|---|
df-iord |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA | . . 3 | |
2 | 1 | word 4117 | . 2 |
3 | 1 | wtr 3875 | . . 3 |
4 | vx | . . . . . 6 | |
5 | 4 | cv 1283 | . . . . 5 |
6 | 5 | wtr 3875 | . . . 4 |
7 | 6, 4, 1 | wral 2348 | . . 3 |
8 | 3, 7 | wa 102 | . 2 |
9 | 2, 8 | wb 103 | 1 |
Colors of variables: wff set class |
This definition is referenced by: dford3 4122 |
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