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Theorems · Theorem · order theory

max_sub_sub_right

∀ {α : Type u_1} [inst : AddCommGroup α] [inst_1 : LinearOrder α] [IsOrderedAddMonoid α] (a b c : α),
  max (a - c) (b - c) = max a b - c
Defined in
Mathlib.Algebra.Order.Group.MinMax
Cited by
2 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext, Quot.sound
Assumes
AddCommGroupLinearOrderIsOrderedAddMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CauSeq.sup_eq_right · cited by 2CauSeq.sup_eq_rightSet.preimage_const_add_uIcc · cited by 2Set.preimage_const_add_uI…AddCommGroup · cited by 12871AddCommGroupLinearOrder · cited by 8572LinearOrderIsOrderedAddMonoid · cited by 1659IsOrderedAddMonoidsub_eq_add_neg · cited by 1023sub_eq_add_negmax_add_add_right · cited by 2max_add_add_rightmax_sub_sub_rightCITED BYCITES

Cites5

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Cited by2

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