Theorems · Theorem · order theory
himp_le_himp_left
∀ {α : Type u_2} [inst : GeneralizedHeytingAlgebra α] {a b c : α}, a ≤ b → c ⇨ a ≤ c ⇨ b- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- GeneralizedHeytingAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- HImp.himpstatement · cited by 153
- GeneralizedHeytingAlgebrastatement and proof · cited by 68
- le_himp_iffproof · cited by 19
- himp_inf_leproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- compl_le_himpproof · cited by 2
- Codisjoint.himp_le_of_right_leproof · cited by 0
- himp_le_himpproof · cited by 0
- himp_inf_himp_cancelproof · cited by 0