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Theorems · Theorem · order theory

disjointed_bot

∀ {α : Type u_1} {ι : Type u_2} [inst : GeneralizedBooleanAlgebra α] [inst_1 : Preorder ι]
  [inst_2 : LocallyFiniteOrderBot ι] [inst_3 : OrderBot ι] (f : ι → α), disjointed f ⊥ = f ⊥
Defined in
Mathlib.Order.Disjointed
Cited by
1 results in Mathlib
Foundations
Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GeneralizedBooleanAlgebraPreorderLocallyFiniteOrderBotOrderBot
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Around this declaration

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

disjointed_zero · cited by 4disjointed_zeroPreorder · cited by 7952PreorderBot.bot · cited by 4720Bot.botOrderBot · cited by 1055OrderBotLocallyFiniteOrderBot · cited by 286LocallyFiniteOrderBotGeneralizedBooleanAlgebra · cited by 204GeneralizedBooleanAlgebradisjointed · cited by 64disjointedisMin_bot · cited by 15isMin_botdisjointed_of_isMin · cited by 1disjointed_of_isMindisjointed_botCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.