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Theorems · Theorem · commutative algebra

AdicCompletion.range_eval

∀ {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), (AdicCompletion.eval I M n).range = ⊤
Defined in
Mathlib.RingTheory.AdicCompletion.Basic
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Foundations
Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingAddCommGroupModule
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Around this declaration

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Module · cited by 20661ModuleRingHom.id · cited by 18349RingHom.idCommRing · cited by 17173CommRingAddCommGroup · cited by 12871AddCommGroupTop.top · cited by 9680Top.topSubmodule · cited by 7192SubmoduleIdeal · cited by 4748IdealHasQuotient.Quotient · cited by 2301HasQuotient.QuotientLinearMap.range · cited by 893LinearMap.rangeAdicCompletion · cited by 160AdicCompletionLinearMap.range_eq_top · cited by 107LinearMap.range_eq_topAdicCompletion.eval · cited by 24AdicCompletion.evalAdicCompletion.eval_surjective · cited by 2AdicCompletion.eval_surje…AdicCompletion.range_evalCITED BYCITES

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