Theorems · Theorem · order theory
Codisjoint.himp_eq_right
∀ {α : Type u_2} [inst : GeneralizedHeytingAlgebra α] {a b : α}, Codisjoint a b → b ⇨ a = a- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 12 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.
- Top.topproof · cited by 9,680
- Codisjointstatement and proof · cited by 197
- HImp.himpstatement and proof · cited by 153
- GeneralizedHeytingAlgebrastatement and proof · cited by 68
- Codisjoint.eq_topproof · cited by 22
- top_himpproof · cited by 2
- sup_himp_self_leftproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- Codisjoint.himp_eq_leftproof · cited by 2
- Codisjoint.himp_inf_cancel_rightproof · cited by 0
- Codisjoint.himp_le_of_right_leproof · cited by 0
- Codisjoint.bihimp_eq_infproof · cited by 0