Theorems · Theorem · measure theory
MeasureTheory.IsSetSemiring.notMem_disjointOfDiff
∀ {α : Type u_1} {C : Set (Set α)} {s t : Set α} (hC : MeasureTheory.IsSetSemiring C) (hs : s ∈ C) (ht : t ∈ C),
t ∉ hC.disjointOfDiff hs ht- Defined in
- Mathlib.MeasureTheory.SetSemiring
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Finsetstatement · cited by 13,712
- Bot.botproof · cited by 4,720
- MeasureTheory.IsSetSemiringstatement and proof · cited by 78
- disjoint_sdiff_self_rightproof · cited by 22
- Finpartition.leproof · cited by 15
- MeasureTheory.IsSetSemiring.disjointOfDiffstatement and proof · cited by 11
- MeasureTheory.IsSetSemiring.exists_finpartition_sdiffproof · cited by 8
- Disjoint.eq_bot_of_leproof · cited by 7
- MeasureTheory.IsSetSemiring.empty_notMem_disjointOfDiffproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.IsSetSemiring.pairwiseDisjoint_insert_disjointOfDiffproof · cited by 1
- MeasureTheory.eq_add_disjointOfDiff_of_subsetproof · cited by 1