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Theorems · Theorem · order theory

Filter.map_inv_atTop

∀ {G : Type u_2} [inst : CommGroup G] [inst_1 : PartialOrder G] [IsOrderedMonoid G],
  Filter.map Inv.inv Filter.atTop = Filter.atBot
Defined in
Mathlib.Order.Filter.AtTopBot.Group
Cited by
1 results in Mathlib
Foundations
Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommGroupPartialOrderIsOrderedMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Filter.tendsto_comp_inv_atTop_iff · cited by 0Filter.tendsto_comp_inv_a…Filter · cited by 8121FilterPartialOrder · cited by 6410PartialOrderFilter.atTop · cited by 2405Filter.atTopCommGroup · cited by 990CommGroupFilter.map · cited by 819Filter.mapIsOrderedMonoid · cited by 577IsOrderedMonoidFilter.atBot · cited by 512Filter.atBotOrderIso.inv · cited by 27OrderIso.invOrderIso.map_atTop · cited by 11OrderIso.map_atTopFilter.map_inv_atTopCITED BYCITES

Cites9

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Cited by1

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