Theorems · Theorem · order theory
bihimp_triangle
∀ {α : Type u_2} [inst : GeneralizedHeytingAlgebra α] (a b c : α), bihimp a b ⊓ bihimp b c ≤ bihimp a c- Defined in
- Mathlib.Order.SymmDiff
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
- Assumes
- GeneralizedHeytingAlgebra
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.
- HImp.himpproof · cited by 153
- inf_commproof · cited by 139
- bihimpstatement and proof · cited by 81
- GeneralizedHeytingAlgebrastatement and proof · cited by 68
- inf_le_infproof · cited by 54
- LE.le.trans_eq'proof · cited by 21
- inf_inf_inf_commproof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- le_bihimp_inf_rightproof · cited by 1