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Theorems · Theorem · order theory

oneLePart_def

∀ {α : Type u_1} [inst : Lattice α] [inst_1 : DivInvMonoid α] (a : α), a⁺ᵐ = a ⊔ 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_mul_oneLePart · cited by 0leOnePart_mul_oneLePartoneLePart_eq_ite · cited by 0oneLePart_eq_iteoneLePart_of_one_lt_oneLePart · cited by 0oneLePart_of_one_lt_oneLe…Lattice · cited by 916LatticeDivInvMonoid · cited by 103DivInvMonoidOneLePart.oneLePart · cited by 40OneLePart.oneLePartoneLePart_defCITED BYCITES

Cites3

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Cited by5

Results whose statement or proof uses this declaration.