Theorems · Theorem · commutative algebra
AdicCompletion.map_zero
∀ {R : Type u_1} [inst : CommRing R] (I : Ideal R) {M : Type u_2} [inst_1 : AddCommGroup M] [inst_2 : Module R M]
{N : Type u_3} [inst_3 : AddCommGroup N] [inst_4 : Module R N], AdicCompletion.map I 0 = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 109 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.
- 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
- map_zeroproof · cited by 1,614
- AdicCompletionstatement · cited by 160
- AdicCompletion.AdicCauchySequenceproof · cited by 41
- AdicCompletion.mapstatement · cited by 24
- AdicCompletion.mkproof · cited by 22
- AdicCompletion.extproof · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- AdicCompletion.map_exactproof · cited by 0