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Theorems · Theorem · order theory

MulLECancellable.of_mul_left

∀ {α : Type u_1} [inst : LE α] [inst_1 : CommSemigroup α] [MulLeftMono α] {a b : α},
  MulLECancellable (a * b) → MulLECancellable a
Defined in
Mathlib.Algebra.Order.Monoid.Unbundled.Basic
Cited by
1 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
LECommSemigroupMulLeftMono
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Around this declaration

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

mulLECancellable_mul · cited by 0mulLECancellable_mulmul_comm · cited by 2262mul_commMulLeftMono · cited by 410MulLeftMonoCommSemigroup · cited by 62CommSemigroupMulLECancellable · cited by 20MulLECancellableMulLECancellable.of_mul_right · cited by 2MulLECancellable.of_mul_r…MulLECancellable.of_mul_leftCITED BYCITES

Cites5

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Cited by1

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