Theorems · Definition
HeytingAlgebra.copy
{α : Type u} →
(c : HeytingAlgebra α) →
(le : α → α → Prop) →
le = LE.le →
(top : α) →
top = ⊤ →
(bot : α) →
bot = ⊥ →
(sup : α → α → α) →
sup = max →
(inf : α → α → α) →
inf = min →
(himp : α → α → α) → himp = HImp.himp → (compl : α → α) → compl = Compl.compl → HeytingAlgebra αA function to create a provable equal copy of a heyting algebra with possibly different definitional equalities.
- Defined in
- Mathlib.Order.Copy
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Bot.botstatement and proof · cited by 4,720
- Compl.complstatement and proof · cited by 2,925
- OrderBotproof · cited by 1,055
- HImp.himpstatement and proof · cited by 153
- HeytingAlgebrastatement and proof · cited by 108
- Botstatement · cited by 96
- Topstatement · cited by 93
- GeneralizedHeytingAlgebraproof · cited by 68
- Complstatement · cited by 11
- HImpstatement · cited by 7
- GeneralizedHeytingAlgebra.copyproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- BiheytingAlgebra.copyproof · cited by 0
- Frame.copyproof · cited by 0