Theorems · Theorem · order theory
max_zero_sub_eq_self
∀ {α : Type u_1} [inst : AddGroup α] [inst_1 : LinearOrder α] [AddLeftMono α] (a : α), max a 0 - max (-a) 0 = aAlias of max_zero_sub_max_neg_zero_eq_self.
- Defined in
- Mathlib.Algebra.Order.Group.MinMax
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement · cited by 8,572
- AddGroupstatement · cited by 4,410
- AddLeftMonostatement · cited by 687
- max_zero_sub_max_neg_zero_eq_selfproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- intervalIntegral.integral_constproof · cited by 33
- MeasureTheory.SimpleFunc.posPart_sub_negPartproof · cited by 1