Theorems · Theorem · order theory
compl_le_himp
∀ {α : Type u_2} [inst : HeytingAlgebra α] {a b : α}, aᶜ ≤ a ⇨ b- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- HeytingAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LE.le.transproof · cited by 3,151
- Compl.complstatement · cited by 2,925
- Eq.geproof · cited by 375
- bot_leproof · cited by 306
- HImp.himpstatement · cited by 153
- HeytingAlgebrastatement and proof · cited by 108
- himp_botproof · cited by 9
- himp_le_himp_leftproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- compl_sup_le_himpproof · cited by 1
- sup_compl_le_himpproof · cited by 0