Theorems · Definition
GeneralizedHeytingAlgebra.copy
{α : Type u} →
(c : GeneralizedHeytingAlgebra α) →
(le : α → α → Prop) →
le = LE.le →
(top : α) →
top = ⊤ →
(sup : α → α → α) →
sup = max →
(inf : α → α → α) → inf = min → (himp : α → α → α) → himp = HImp.himp → GeneralizedHeytingAlgebra αA function to create a provable equal copy of a generalised heyting algebra with possibly different definitional equalities.
- Defined in
- Mathlib.Order.Copy
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- Latticeproof · cited by 916
- OrderTopproof · cited by 493
- HImp.himpstatement and proof · cited by 153
- Topstatement · cited by 93
- GeneralizedHeytingAlgebrastatement and proof · cited by 68
- HImpstatement · cited by 7
- OrderTop.copyproof · cited by 1
- Lattice.copyproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- GeneralizedHeytingAlgebra.copy.congr_simpstatement and proof · cited by 0
- HeytingAlgebra.copyproof · cited by 0