Theorems · Theorem · order theory
bihimp_inf_sup
∀ {α : Type u_2} [inst : GeneralizedHeytingAlgebra α] (a b : α), bihimp a b ⊓ (a ⊔ b) = a ⊓ b- Defined in
- Mathlib.Order.SymmDiff
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext
- Assumes
- GeneralizedHeytingAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- inf_le_rightproof · cited by 238
- sup_leproof · cited by 159
- HImp.himpproof · cited by 153
- le_infproof · cited by 107
- bihimpstatement and proof · cited by 81
- GeneralizedHeytingAlgebrastatement and proof · cited by 68
- inf_assocproof · cited by 53
- ge_antisymmproof · cited by 51
- inf_sup_leftproof · cited by 28
- inf_le_of_left_leproof · cited by 17
- inf_le_supproof · cited by 14
- inf_le_of_right_leproof · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- bihimp_bihimp_supproof · cited by 1
- sup_inf_bihimpproof · cited by 0