Theorems · Theorem · commutative algebra
Subring.closure_empty
∀ {R : Type u} [inst : NonAssocRing R], Subring.closure ∅ = ⊥- Defined in
- Mathlib.Algebra.Ring.Subring.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonAssocRing
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Bot.botstatement · cited by 4,720
- Subringstatement · cited by 602
- NonAssocRingstatement and proof · cited by 483
- GaloisInsertion.gcproof · cited by 137
- Subring.closurestatement · cited by 78
- GaloisConnection.l_botproof · cited by 63
- Subring.giproof · cited by 6
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