Theorems · Definition · order theory
Heyting.IsRegular
{α : Type u_1} → [Compl α] → α → PropAn element of a Heyting algebra is regular if its double complement is itself.
- Defined in
- Mathlib.Order.Heyting.Regular
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- Compl
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Compl.complproof · cited by 2,925
- Complstatement and proof · cited by 11
Cited by13
Results whose statement or proof uses this declaration.
- Heyting.Regularproof · cited by 14
- Heyting.IsRegular.eqstatement · cited by 4
- Heyting.isRegular_topstatement · cited by 0
- Heyting.Regular.propstatement · cited by 0
- Heyting.IsRegular.disjoint_compl_left_iffstatement and proof · cited by 0
- Heyting.IsRegular.disjoint_compl_right_iffstatement and proof · cited by 0
- Heyting.IsRegular.himpstatement and proof · cited by 0
- Heyting.IsRegular.infstatement and proof · cited by 0
- Heyting.isRegular_botstatement · cited by 0
- Heyting.isRegular_complstatement · cited by 0
- Heyting.isRegular_of_booleanstatement · cited by 0
- Heyting.isRegular_of_decidablestatement · cited by 0