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Theorems · Theorem · order theory

Disjoint.sup_left

∀ {α : Type u_1} [inst : DistribLattice α] [inst_1 : OrderBot α] {a b c : α},
  Disjoint a c → Disjoint b c → Disjoint (a ⊔ b) c
Defined in
Mathlib.Order.Disjoint
Cited by
2 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext
Assumes
DistribLatticeOrderBot
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Around this declaration

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

Disjoint.union_left · cited by 2Disjoint.union_leftDisjoint.symmDiff_left · cited by 1Disjoint.symmDiff_leftDisjoint · cited by 2201DisjointOrderBot · cited by 1055OrderBotDistribLattice · cited by 150DistribLatticedisjoint_sup_left · cited by 4disjoint_sup_leftDisjoint.sup_leftCITED BYCITES

Cites4

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

Cited by2

Results whose statement or proof uses this declaration.