Theorems · Theorem · order theory
map_compl
∀ {F : Type u_1} {α : Type u_2} {β : Type u_3} [inst : FunLike F α β] [inst_1 : HeytingAlgebra α]
[inst_2 : HeytingAlgebra β] [HeytingHomClass F α β] (f : F) (a : α), f aᶜ = (f a)ᶜ- Defined in
- Mathlib.Order.Heyting.Hom
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Bot.botproof · cited by 4,720
- Compl.complstatement and proof · cited by 2,925
- FunLikestatement and proof · cited by 2,560
- HImp.himpproof · cited by 153
- HeytingAlgebrastatement and proof · cited by 108
- BotHomClass.map_botproof · cited by 12
- himp_botproof · cited by 9
- HeytingHomClassstatement and proof · cited by 4
- HeytingHomClass.map_himpproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- PrimeSpectrum.isIdempotentElemEquivClopens_one_subproof · cited by 0
- PrimeSpectrum.isIdempotentElemEquivClopens_symm_complproof · cited by 0