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Theorems · Theorem · order theory

StrictMonoOn.const_add

∀ {α : Type u_1} {β : Type u_2} [inst : Add α] [inst_1 : Preorder α] [inst_2 : Preorder β] {f : β → α} {s : Set β}
  [AddLeftStrictMono α], StrictMonoOn f s → ∀ (c : α), StrictMonoOn (fun x => c + f x) s
Defined in
Mathlib.Algebra.Order.Monoid.Unbundled.Basic
Cited by
1 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
AddPreorderPreorderAddLeftStrictMono
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Around this declaration

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

AkraBazziRecurrence.strictMonoOn_one_sub_smoothingFn · cited by 0AkraBazziRecurrence.stric…Set · cited by 53352SetPreorder · cited by 7952PreorderAddLeftStrictMono · cited by 203AddLeftStrictMonoStrictMonoOn · cited by 194StrictMonoOnadd_lt_add_right · cited by 50add_lt_add_rightStrictMonoOn.const_addCITED BYCITES

Cites5

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Cited by1

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