Theorems · Theorem · order theory
oneLePart_eq_ite
∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : Group α] {a : α}, a⁺ᵐ = if 1 ≤ a then a else 1- Defined in
- Mathlib.Algebra.Order.Group.PosPart
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- LinearOrderGroup
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Cites6
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
- sup_commproof · cited by 165
- OneLePart.oneLePartstatement · cited by 40
- oneLePart_defproof · cited by 5
- sup_eq_maxDefaultproof · cited by 4
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