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Theorems · Theorem · group theory

IsRightCancelMulZero.faithfulSMul

Deprecated since 2026-02-03Mathlib marks this declaration as deprecated.

∀ {α : Type u_1} [inst : MonoidWithZero α] [IsRightCancelMulZero α], FaithfulSMul α α

Monoid.toMulAction is faithful on nontrivial cancellative monoids with zero.

Defined in
Mathlib.Algebra.GroupWithZero.Action.Faithful
Cited by
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Foundations
Depth 7 from the axioms · uses no axioms
Assumes
MonoidWithZeroIsRightCancelMulZero

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