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Theorems · Theorem · order theory

min_add_add_right

∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : Add α] [AddRightMono α] (a b c : α), min (a + c) (b + c) = min a b + c
Defined in
Mathlib.Algebra.Order.Monoid.Unbundled.MinMax
Cited by
2 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext
Assumes
LinearOrderAddAddRightMono
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Around this declaration

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

min_sub_sub_right · cited by 5min_sub_sub_rightIntervalIntegrable.comp_add_right_iff · cited by 3IntervalIntegrable.comp_a…LinearOrder · cited by 8572LinearOrderAddRightMono · cited by 367AddRightMonoMonotone.map_min · cited by 43Monotone.map_minmonotone_id · cited by 31monotone_idMonotone.add_const · cited by 7Monotone.add_constmin_add_add_rightCITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.