Theorems · Theorem · ring theory
NonUnitalSubring.closure_eq_of_le
∀ {R : Type u} [inst : NonUnitalNonAssocRing R] {s : Set R} {t : NonUnitalSubring R},
s ⊆ ↑t → t ≤ NonUnitalSubring.closure s → NonUnitalSubring.closure s = t- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalNonAssocRing
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Cites7
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
- SetLike.coestatement and proof · cited by 8,199
- le_antisymmproof · cited by 2,068
- NonUnitalNonAssocRingstatement and proof · cited by 354
- NonUnitalSubringstatement and proof · cited by 185
- NonUnitalSubring.closurestatement and proof · cited by 23
- NonUnitalSubring.closure_leproof · cited by 7
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