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Theorems · Theorem · order theory

AddLECancellable.injective_left

∀ {α : Type u_1} [inst : Add α] [IsAddCommutative α] [inst_2 : PartialOrder α] {a : α},
  AddLECancellable a → Function.Injective fun x => x + a
Defined in
Mathlib.Algebra.Order.Monoid.Unbundled.Basic
Cited by
1 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Assumes
AddIsAddCommutativePartialOrder
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Around this declaration

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AddLECancellable.inj_left · cited by 6AddLECancellable.inj_leftPartialOrder · cited by 6410PartialOrderAddLECancellable · cited by 87AddLECancellableIsAddCommutative · cited by 40IsAddCommutativeadd_comm' · cited by 7add_comm'AddLECancellable.Injective · cited by 3AddLECancellable.InjectiveAddLECancellable.injective_le…CITED BYCITES

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