Theorems · Theorem · commutative algebra
Subsemiring.notMem_of_notMem_closure
∀ {R : Type u} [inst : NonAssocSemiring R] {s : Set R} {P : R}, P ∉ Subsemiring.closure s → P ∉ s- Defined in
- Mathlib.Algebra.Ring.Subsemiring.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonAssocSemiring
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- Setstatement and proof · cited by 53,352
- NonAssocSemiringstatement and proof · cited by 805
- Subsemiringstatement · cited by 456
- Subsemiring.closurestatement and proof · cited by 53
- Subsemiring.subset_closureproof · cited by 13
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