Mercurial > hg > Members > kono > Proof > ZF-in-agda
comparison src/LEMC.agda @ 440:d1c9f5ae5d0a
give up this generic filter definition
| author | Shinji KONO <kono@ie.u-ryukyu.ac.jp> |
|---|---|
| date | Tue, 01 Mar 2022 14:31:31 +0900 |
| parents | a5f8084b8368 |
| children | 55ab5de1ae02 |
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| 439:fdcbf23ba2f9 | 440:d1c9f5ae5d0a |
|---|---|
| 129 -- | 129 -- |
| 130 -- axiom regurality from ε-induction (using axiom of choice above) | 130 -- axiom regurality from ε-induction (using axiom of choice above) |
| 131 -- | 131 -- |
| 132 -- from https://math.stackexchange.com/questions/2973777/is-it-possible-to-prove-regularity-with-transfinite-induction-only | 132 -- from https://math.stackexchange.com/questions/2973777/is-it-possible-to-prove-regularity-with-transfinite-induction-only |
| 133 -- | 133 -- |
| 134 -- FIXME : don't use HOD make this level n, so we can remove ε-induction1 | |
| 135 record Minimal (x : HOD) : Set (suc n) where | 134 record Minimal (x : HOD) : Set (suc n) where |
| 136 field | 135 field |
| 137 min : HOD | 136 min : HOD |
| 138 x∋min : x ∋ min | 137 x∋min : x ∋ min |
| 139 min-empty : (y : HOD ) → ¬ ( min ∋ y) ∧ (x ∋ y) | 138 min-empty : (y : HOD ) → ¬ ( min ∋ y) ∧ (x ∋ y) |