Theorems · Theorem · commutative algebra
is_bot_adic_iff
∀ {A : Type u_2} [inst : CommRing A] [inst_1 : TopologicalSpace A] [IsTopologicalRing A], IsAdic ⊥ ↔ DiscreteTopology A- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- CommRingstatement and proof · cited by 17,173
- SetLike.coeproof · cited by 8,199
- nhdsproof · cited by 5,554
- Idealstatement · cited by 4,748
- Bot.botstatement and proof · cited by 4,720
- IsOpenproof · cited by 2,400
- pow_oneproof · cited by 894
- IsTopologicalRingstatement and proof · cited by 402
- DiscreteTopologystatement and proof · cited by 373
- mem_of_mem_nhdsproof · cited by 126
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