Theorems · Theorem · commutative algebra
AdicCompletion.AdicCauchySequence.map_id
∀ {R : Type u_1} [inst : CommRing R] (I : Ideal R) (M : Type u_2) [inst_1 : AddCommGroup M] [inst_2 : Module R M],
AdicCompletion.AdicCauchySequence.map I LinearMap.id = LinearMap.id- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingAddCommGroupModule
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Cites9
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
- LinearMap.idstatement · cited by 625
- AdicCompletion.AdicCauchySequencestatement · cited by 41
- AdicCompletion.AdicCauchySequence.mapstatement · cited by 11
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