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Theorems · Theorem · order theory

MulLECancellable.injective_left

∀ {α : Type u_1} [inst : Mul α] [IsMulCommutative α] [inst_2 : PartialOrder α] {a : α},
  MulLECancellable 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
MulIsMulCommutativePartialOrder
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Around this declaration

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MulLECancellable.inj_left · cited by 0MulLECancellable.inj_leftPartialOrder · cited by 6410PartialOrderIsMulCommutative · cited by 95IsMulCommutativeMulLECancellable · cited by 20MulLECancellablemul_comm' · cited by 12mul_comm'MulLECancellable.Injective · cited by 3MulLECancellable.InjectiveMulLECancellable.injective_le…CITED BYCITES

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Cited by1

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