Theorems · Theorem · order theory
sdiff_sup_cancel
∀ {α : Type u_2} [inst : GeneralizedCoheytingAlgebra α] {a b : α}, b ≤ a → a \ b ⊔ b = a- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- GeneralizedCoheytingAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- sup_commproof · cited by 165
- GeneralizedCoheytingAlgebrastatement and proof · cited by 95
- sup_sdiff_cancel_rightproof · cited by 6
Cited by7
Results whose statement or proof uses this declaration.
- Finpartition.equitabilise_auxproof · cited by 3
- Monotone.disjointed_succ_supproof · cited by 1
- UV.sup_sdiff_mem_of_mem_compression_of_notMemproof · cited by 1
- UV.compress_of_disjoint_of_le'proof · cited by 1
- sup_sdiff_injOnproof · cited by 1
- sdiff_left_injproof · cited by 0
- sup_lt_of_lt_sdiff_rightproof · cited by 0