[Merged by Bors] - feat(order/ideal): add partial_order instance to order.ideal #5909
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Add some instances for
order.ideal
, some of them conditional onhaving extra structure on the carrier preorder
P
:In all cases,
ideal P
is a partial order.If
P
has a bottom element, so doesideal P
.If
P
has a top element, so doesideal P
.(Although this could be weekened to
P
being directed.)Also, add some
@[ext]
,@[simp]
,@[trans]
lemmas.