Theorems · Theorem · order theory
himp_eq_left
∀ {α : Type u} {x y : α} [inst : BooleanAlgebra α], x ⇨ y = x ↔ x = ⊤ ∧ y = ⊤- Defined in
- Mathlib.Order.BooleanAlgebra.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- BooleanAlgebra
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.
- Top.topstatement and proof · cited by 9,680
- BooleanAlgebrastatement and proof · cited by 300
- HImp.himpstatement · cited by 153
- codisjoint_himp_self_leftproof · cited by 1
- Codisjoint.eq_iffproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- himp_ne_rightproof · cited by 0