Theorems · Theorem · order theory
Disjoint.sdiff_eq_left
∀ {α : Type u_2} [inst : GeneralizedCoheytingAlgebra α] {a b : α}, Disjoint a b → a \ b = a- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- GeneralizedCoheytingAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botproof · cited by 4,720
- Disjointstatement and proof · cited by 2,201
- GeneralizedCoheytingAlgebrastatement and proof · cited by 95
- Disjoint.eq_botproof · cited by 52
- sdiff_botproof · cited by 13
- sdiff_inf_self_leftproof · cited by 5
Cited by19
Results whose statement or proof uses this declaration.
- sdiff_eq_leftproof · cited by 15
- Disjoint.sdiff_eq_rightproof · cited by 6
- Disjoint.sup_sdiff_cancel_rightproof · cited by 5
- le_sdiffproof · cited by 4
- Matroid.closure_union_eq_of_subset_coloopsproof · cited by 4
- Disjoint.symmDiff_eq_supproof · cited by 3
- Finpartition.equitabilise_auxproof · cited by 3
- Disjoint.le_sdiff_of_le_leftproof · cited by 2
- SimpleGraph.Connected.connected_delete_edge_of_not_isBridgeproof · cited by 2
- MeasureTheory.hahn_decompositionproof · cited by 2
- Matroid.IsBasis'.contract_isBasis_union_unionproof · cited by 1
- UV.compress_sdiff_sdiffproof · cited by 1