Theorems · Theorem · commutative algebra
IsLocalizedModule.iso_symm_apply_aux
∀ {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] (m : M'),
(IsLocalizedModule.iso S f).symm m = LocalizedModule.mk ⋯.choose.1 ⋯.choose.2- Cited by
- 1 results in Mathlib
- Foundations
- Depth 50 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · 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
- LinearEquivstatement · cited by 3,317
- Submonoidstatement and proof · cited by 3,086
- LinearEquiv.symmstatement and proof · cited by 1,461
- IsLocalizedModulestatement and proof · cited by 220
- LinearEquiv.injectiveproof · cited by 162
- LocalizedModulestatement · cited by 154
Cited by1
Results whose statement or proof uses this declaration.
- IsLocalizedModule.iso_symm_apply'proof · cited by 2