Theorems · Theorem · commutative algebra
IsLocalizedModule.fromLocalizedModule.bij
∀ {R : Type u_1} [inst : CommSemiring R] (S : Submonoid R) {M : Type u_2} {M' : Type u_3} [inst_1 : AddCommMonoid M]
[inst_2 : AddCommMonoid M'] [inst_3 : Module R M] [inst_4 : Module R M'] (f : M →ₗ[R] M')
[inst_5 : IsLocalizedModule S f], Function.Bijective ⇑(IsLocalizedModule.fromLocalizedModule S f)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 47 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
- Submonoidstatement and proof · cited by 3,086
- Function.Bijectivestatement · cited by 863
- IsLocalizedModulestatement and proof · cited by 220
- LocalizedModulestatement · cited by 154
- IsLocalizedModule.fromLocalizedModulestatement · cited by 11
- IsLocalizedModule.fromLocalizedModule.injproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- IsLocalizedModule.isoproof · cited by 34