Theorems · Theorem · order theory
sup_sdiff_eq_sup
∀ {α : Type u_2} [inst : GeneralizedCoheytingAlgebra α] {a b c : α}, c ≤ a → a ⊔ b \ c = a ⊔ b- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
- Assumes
- GeneralizedCoheytingAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LE.le.transproof · cited by 3,151
- le_sup_rightproof · cited by 242
- GeneralizedCoheytingAlgebrastatement and proof · cited by 95
- sdiff_leproof · cited by 36
- sup_le_sup_rightproof · cited by 14
- le_sup_sdiffproof · cited by 5
- sup_congr_leftproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- sup_sdiff_cancel'proof · cited by 3
- Finset.pluennecke_petridis_inequality_addproof · cited by 1
- Finset.pluennecke_petridis_inequality_mulproof · cited by 1