Theorems · Theorem · order theory
max_neg_zero
∀ {α : Type u_1} [inst : AddGroup α] [inst_1 : LinearOrder α] [AddLeftMono α] (a : α), max (-a) 0 = -a + max a 0- Defined in
- Mathlib.Algebra.Order.Group.MinMax
- Cited by
- 3 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.
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
- AddGroupstatement and proof · cited by 4,410
- AddLeftMonostatement and proof · cited by 687
- eq_sub_iff_add_eqproof · cited by 65
- eq_neg_add_iff_add_eqproof · cited by 16
- max_zero_sub_max_neg_zero_eq_selfproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- ContinuousMap.toNNReal_mul_add_neg_mul_add_mul_neg_eqproof · cited by 1
- ContinuousMap.toNNReal_add_add_neg_add_neg_eqproof · cited by 1
- CompactlySupportedContinuousMap.exists_add_nnrealPart_add_eqproof · cited by 0