Theorems · Theorem · order theory
compl_sup_compl_le
∀ {α : Type u_2} [inst : HeytingAlgebra α] {a b : α}, aᶜ ⊔ bᶜ ≤ (a ⊓ b)ᶜ- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- HeytingAlgebra
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.
- Compl.complstatement · cited by 2,925
- inf_le_leftproof · cited by 286
- inf_le_rightproof · cited by 238
- sup_leproof · cited by 159
- HeytingAlgebrastatement and proof · cited by 108
- compl_antiproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- compl_compl_inf_distribproof · cited by 2