Theorems · Theorem · order theory
posPart_eq_of_posPart_pos
∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : AddGroup α] {a : α}, 0 < a⁺ → a⁺ = a- Defined in
- Mathlib.Algebra.Order.Group.PosPart
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- LinearOrderAddGroup
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
- AddGroupstatement and proof · cited by 4,410
- LT.lt.leproof · cited by 2,189
- not_leproof · cited by 328
- PosPart.posPartstatement and proof · cited by 113
- posPart_defproof · cited by 6
- posPart_eq_selfproof · cited by 6
- right_lt_supproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.crossing_pos_eqproof · cited by 1