Theorems · Theorem · commutative algebra
AdicCompletion.eval_surjective
∀ {R : Type u_1} [inst : CommRing R] (I : Ideal R) (M : Type u_4) [inst_1 : AddCommGroup M] [inst_2 : Module R M]
(n : ℕ), Function.Surjective ⇑(AdicCompletion.eval I M n)- Defined in
- Mathlib.RingTheory.AdicCompletion.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingAddCommGroupModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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 · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- Top.topstatement and proof · cited by 9,680
- Submodulestatement · cited by 7,192
- Idealstatement and proof · cited by 4,748
- HasQuotient.Quotientstatement and proof · cited by 2,301
- AdicCompletionstatement · cited by 160
- Quotient.inductionOn'proof · cited by 69
Cited by2
Results whose statement or proof uses this declaration.
- AdicCompletion.surjective_evalₐproof · cited by 1
- AdicCompletion.range_evalproof · cited by 0