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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".
Some sources will define a notation for ordinal order corresponding to
(Contributed by Jim Kingdon, 10-Oct-2018.) Use its alias dford3 4363 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 4358 |
. 2
![]() ![]() ![]() |
3 | 1 | wtr 4098 |
. . 3
![]() ![]() ![]() |
4 | vx |
. . . . . 6
![]() ![]() | |
5 | 4 | cv 1352 |
. . . . 5
![]() ![]() |
6 | 5 | wtr 4098 |
. . . 4
![]() ![]() ![]() |
7 | 6, 4, 1 | wral 2455 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() |
8 | 3, 7 | wa 104 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
9 | 2, 8 | wb 105 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
This definition is referenced by: dford3 4363 |
Copyright terms: Public domain | W3C validator |