Theorems · Theorem · commutative algebra
Subring.mem_bot
∀ {R : Type u} [inst : NonAssocRing R] {x : R}, x ∈ ⊥ ↔ ∃ n, ↑n = x- Defined in
- Mathlib.Algebra.Ring.Subring.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botstatement · cited by 4,720
- Subringstatement · cited by 602
- NonAssocRingstatement and proof · cited by 483
- RingHom.mem_rangeproof · cited by 10
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.