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{"definition_height":null,"is_auto_or_private":false,"is_internal_name":false,"kind":"theorem","module":"Mathlib.Order.Filter.AtTopBot.Field","name":"Filter.Tendsto.atBot_div_const","namespace":"Filter.Tendsto","reducibility":null,"statement_dag_size":151,"type_refs":["DistribLattice.toLattice","DivInvMonoid.toDiv","DivisionRing.toDivInvMonoid","DivisionSemiring.toSemiring","Field","Field.toDivisionRing","Field.toSemifield","Filter","Filter.Tendsto","Filter.atBot","HDiv.hDiv","IsStrictOrderedRing","LT.lt","Lattice.toSemilatticeInf","LinearOrder","MulZeroClass.toZero","OfNat.ofNat","PartialOrder.toPreorder","Preorder.toLT","Semifield.toDivisionSemiring","SemilatticeInf.toPartialOrder","Zero.toOfNat0","instDistribLatticeOfLinearOrder","instHDiv","instMulZeroClassOfSemiring"],"value_dag_size":169,"value_refs":["DistribLattice.toLattice","DivInvMonoid.toDiv","DivisionRing.toDivInvMonoid","DivisionSemiring.toSemiring","Field","Field.toDivisionRing","Field.toSemifield","Filter","Filter.Tendsto","Filter.atBot","Filter.tendsto_div_const_atBot_of_pos","HDiv.hDiv","Iff.mpr","IsStrictOrderedRing","LT.lt","Lattice.toSemilatticeInf","LinearOrder","MulZeroClass.toZero","OfNat.ofNat","PartialOrder.toPreorder","Preorder.toLT","Semifield.toDivisionSemiring","SemilatticeInf.toPartialOrder","Zero.toOfNat0","instDistribLatticeOfLinearOrder","instHDiv","instMulZeroClassOfSemiring"]}
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