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Theorems · Theorem · order theory

max_mul

∀ {α : Type u_1} [inst : Mul α] [inst_1 : LinearOrder α] [MulRightMono α] (a b c : α), max a b * c = max (a * c) (b * c)
Defined in
Mathlib.Algebra.Order.Monoid.Unbundled.Basic
Cited by
3 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext
Assumes
MulLinearOrderMulRightMono
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Around this declaration

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

LipschitzWith.prodMk · cited by 4LipschitzWith.prodMkFinset.sup_mul₀ · cited by 1Finset.sup_mul₀LipschitzOnWith.prodMk · cited by 1LipschitzOnWith.prodMkLinearOrder · cited by 8572LinearOrderMulRightMono · cited by 263MulRightMonoMonotone.map_max · cited by 55Monotone.map_maxmul_left_mono · cited by 10mul_left_monomax_mulCITED BYCITES

Cites4

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Cited by3

Results whose statement or proof uses this declaration.