Theorems · Theorem · order theory
sdiff_inf_distrib
∀ {α : Type u_2} [inst : GeneralizedCoheytingAlgebra α] (b c a : α), c \ (a ⊓ b) = c \ a ⊔ c \ b- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 4 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- eq_of_forall_ge_iffproof · cited by 96
- GeneralizedCoheytingAlgebrastatement and proof · cited by 95
- sup_le_iffproof · cited by 58
- le_inf_iffproof · cited by 48
- sdiff_le_commproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- hnot_inf_distribproof · cited by 6
- sdiff_inf_self_leftproof · cited by 5
- sdiff_infproof · cited by 5
- sdiff_inf_self_rightproof · cited by 4