Theorems · Theorem · ring theory
MulSemiringAction.toAlgEquiv_injective
∀ {G : Type u_2} (R : Type u_3) (A : Type u_4) [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
[inst_3 : Group G] [inst_4 : MulSemiringAction G A] [inst_5 : SMulCommClass G R A] [FaithfulSMul G A],
Function.Injective (MulSemiringAction.toAlgEquiv R A)- Defined in
- Mathlib.Algebra.Algebra.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites11
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
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Groupstatement and proof · cited by 6,238
- SMulCommClassstatement and proof · cited by 1,927
- AlgEquivstatement · cited by 1,681
- MulSemiringActionstatement and proof · cited by 423
- FaithfulSMulstatement and proof · cited by 340
- FaithfulSMul.eq_of_smul_eq_smulproof · cited by 22
- MulSemiringAction.toAlgEquivstatement and proof · cited by 11
- AlgEquiv.ext_iffproof · cited by 8
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