Theorems · Theorem · order theory
Disjoint.inf_right
∀ {α : Type u_1} [inst : SemilatticeInf α] [inst_1 : OrderBot α] {a b : α} (c : α), Disjoint a b → Disjoint a (b ⊓ c)- Defined in
- Mathlib.Order.Disjoint
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- SemilatticeInfOrderBot
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Disjointstatement and proof · cited by 2,201
- OrderBotstatement and proof · cited by 1,055
- SemilatticeInfstatement and proof · cited by 634
- inf_le_leftproof · cited by 286
- Disjoint.mono_rightproof · cited by 64
Cited by6
Results whose statement or proof uses this declaration.
- MeasureTheory.SignedMeasure.toSignedMeasure_toJordanDecompositionproof · cited by 10
- Disjoint.inter_rightproof · cited by 5
- blimsup_cthickening_ae_le_of_eventually_mul_le_auxproof · cited by 1
- MeasureTheory.IsFundamentalDomain.exists_ne_one_smul_eqproof · cited by 0
- MeasureTheory.IsAddFundamentalDomain.exists_ne_zero_vadd_eqproof · cited by 0
- Finset.filter_product_cardproof · cited by 0