Theorems · Theorem · ring theory
NonUnitalSubring.notMem_of_notMem_closure
∀ {R : Type u} [inst : NonUnitalNonAssocRing R] {s : Set R} {P : R}, P ∉ NonUnitalSubring.closure s → P ∉ s- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalNonAssocRing
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- NonUnitalNonAssocRingstatement and proof · cited by 354
- NonUnitalSubringstatement · cited by 185
- NonUnitalSubring.closurestatement and proof · cited by 23
- NonUnitalSubring.subset_closureproof · cited by 9
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