Theorems · Theorem · order theory
min_sub_sub_left
∀ {α : Type u_1} [inst : AddCommGroup α] [inst_1 : LinearOrder α] [IsOrderedAddMonoid α] (a b c : α),
min (a - b) (a - c) = a - max b c- Defined in
- Mathlib.Algebra.Order.Group.MinMax
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
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.
- AddCommGroupstatement and proof · cited by 12,871
- LinearOrderstatement and proof · cited by 8,572
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- sub_eq_add_negproof · cited by 1,023
- min_neg_negproof · cited by 4
- min_add_add_leftproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- CauSeq.sup_ltproof · cited by 1