Theorems · Theorem · ring theory
toRingHom_injective
∀ (M : Type u_1) [inst : Monoid M] (R : Type v) [inst_1 : Semiring R] [inst_2 : MulSemiringAction M R] [FaithfulSMul M R], Function.Injective (MulSemiringAction.toRingHom M R)
- Defined in
- Mathlib.Algebra.Ring.Action.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Monoidstatement and proof · cited by 3,887
- MulSemiringActionstatement and proof · cited by 423
- FaithfulSMulstatement and proof · cited by 340
- MulSemiringAction.toRingHomstatement and proof · cited by 23
- FaithfulSMul.eq_of_smul_eq_smulproof · cited by 22
- RingHom.ext_iffproof · cited by 16
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