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Theorems · Theorem · order theory

OrderIso.map_radical

∀ {α : Type u_1} [inst : CompleteLattice α] {β : Type u_2} [inst_1 : CompleteLattice β] (f : α ≃o β),
  f (Order.radical α) = Order.radical β
Defined in
Mathlib.Order.Radical
Cited by
0 results in Mathlib
Foundations
Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CompleteLatticeCompleteLattice
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Around this declaration

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DFunLike.coe · cited by 62936DFunLike.coeSet.ofPred · cited by 6101Set.ofPrediInf · cited by 1690iInfCompleteLattice · cited by 1048CompleteLatticeOrderIso · cited by 874OrderIsoiInf_congr_Prop · cited by 218iInf_congr_PropIsCoatom · cited by 114IsCoatomRelIso.toEquiv · cited by 113RelIso.toEquivOrderIso.map_iInf · cited by 25OrderIso.map_iInfEquiv.iInf_congr · cited by 6Equiv.iInf_congrOrder.radical · cited by 3Order.radicalOrderIso.map_radicalCITED BYCITES

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