Mathlib Map

Theorems · Theorem · order theory

leOnePart_def

∀ {α : Type u_1} [inst : Lattice α] [inst_1 : DivInvMonoid α] (a : α), a⁻ᵐ = a⁻¹ ⊔ 1
Defined in
Mathlib.Algebra.Order.Group.PosPart
Cited by
5 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
LatticeDivInvMonoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

oneLePart_div_leOnePart · cited by 6oneLePart_div_leOnePartoneLePart_mul_leOnePart · cited by 2oneLePart_mul_leOnePartleOnePart_eq_inv_inf_one · cited by 1leOnePart_eq_inv_inf_oneleOnePart_mul_oneLePart · cited by 0leOnePart_mul_oneLePartleOnePart_eq_ite · cited by 0leOnePart_eq_iteLattice · cited by 916LatticeDivInvMonoid · cited by 103DivInvMonoidLeOnePart.leOnePart · cited by 41LeOnePart.leOnePartleOnePart_defCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.