Theorems · Definition · order theory
IsSimpleOrder.orderIsoBool
{α : Type u_2} → [DecidableEq α] → [inst : PartialOrder α] → [inst_1 : BoundedOrder α] → [IsSimpleOrder α] → α ≃o BoolEvery simple lattice over a partial order is order-isomorphic to Bool.
- Defined in
- Mathlib.Order.Atoms
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivproof · cited by 8,337
- PartialOrderstatement and proof · cited by 6,410
- OrderIsostatement · cited by 874
- BoundedOrderstatement and proof · cited by 270
- IsSimpleOrderstatement and proof · cited by 54
- IsSimpleOrder.equivBoolproof · cited by 4
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