Theorems · Theorem · order theory
himp_inf_distrib
∀ {α : Type u_2} [inst : GeneralizedHeytingAlgebra α] (a b c : α), a ⇨ b ⊓ c = (a ⇨ b) ⊓ (a ⇨ c)- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext
- Assumes
- GeneralizedHeytingAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- HImp.himpstatement and proof · cited by 153
- GeneralizedHeytingAlgebrastatement and proof · cited by 68
- eq_of_forall_le_iffproof · cited by 65
Cited by3
Results whose statement or proof uses this declaration.
- himp_bihimpproof · cited by 1
- Codisjoint.himp_inf_cancel_rightproof · cited by 0
- Codisjoint.himp_inf_cancel_leftproof · cited by 0