Theorems · Theorem · order theory
oneLePart_of_one_lt_oneLePart
∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : Group α] {a : α}, 1 < a⁺ᵐ → a⁺ᵐ = a- Defined in
- Mathlib.Algebra.Order.Group.PosPart
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- LinearOrderGroup
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.
- LinearOrderstatement and proof · cited by 8,572
- Groupstatement and proof · cited by 6,238
- LT.lt.leproof · cited by 2,189
- not_leproof · cited by 328
- OneLePart.oneLePartstatement and proof · cited by 40
- right_lt_supproof · cited by 6
- oneLePart_defproof · cited by 5
- oneLePart_eq_selfproof · cited by 3
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