Theorems · Definition · commutative algebra
WithIdeal.topologicalSpaceModule
(R : Type u_1) → [inst : CommRing R] → [WithIdeal R] → (M : Type u_2) → [inst_2 : AddCommGroup M] → [Module R M] → TopologicalSpace M
The adic topology on an R module coming from the ideal WithIdeal.I.
This cannot be an instance because R cannot be inferred from M.
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- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- WithIdealstatement and proof · cited by 5
- WithIdeal.iproof · cited by 3
- Ideal.adicModuleTopologyproof · cited by 0
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