Theorems · Theorem · commutative algebra
AdicCompletion.of_surjective
∀ {R : Type u_1} [inst : CommRing R] (I : Ideal R) (M : Type u_4) [inst_1 : AddCommGroup M] [inst_2 : Module R M]
[IsPrecomplete I M], Function.Surjective ⇑(AdicCompletion.of I M)- Defined in
- Mathlib.RingTheory.AdicCompletion.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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 · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- Idealstatement and proof · cited by 4,748
- AdicCompletionstatement · cited by 160
- AdicCompletion.ofstatement · cited by 37
- IsPrecompletestatement and proof · cited by 29
- AdicCompletion.of_surjective_iffproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- surjective_of_mkQ_comp_surjectiveproof · cited by 1