Theorems · Theorem · commutative algebra
IsLocalizedModule.Away.isUnit_algebraMap
∀ {R : Type u_1} [inst : CommSemiring R] {M : Type u_2} {N : Type u_3} [inst_1 : AddCommMonoid M]
[inst_2 : AddCommMonoid N] [inst_3 : Module R M] [inst_4 : Module R N] (f : M →ₗ[R] N) (r : R)
[IsLocalizedModule.Away r f], IsUnit ((algebraMap R (Module.End R N)) r)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement and proof · cited by 10,215
- RingHomstatement · cited by 10,189
- Algebra.algebraMapstatement · cited by 4,706
- IsUnitstatement · cited by 1,602
- pow_oneproof · cited by 894
- Module.Endstatement · cited by 774
- IsLocalizedModule.map_unitsproof · cited by 40
Cited by1
Results whose statement or proof uses this declaration.
- IsLocalizedModule.Away.of_associatedproof · cited by 1