Theorems · Theorem · ring theory
NonUnitalSubsemiring.notMem_of_notMem_closure
∀ {R : Type u} [inst : NonUnitalNonAssocSemiring R] {s : Set R} {P : R}, P ∉ NonUnitalSubsemiring.closure s → P ∉ s- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalNonAssocSemiring
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- Setstatement and proof · cited by 53,352
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- NonUnitalSubsemiringstatement · cited by 201
- NonUnitalSubsemiring.closurestatement and proof · cited by 31
- NonUnitalSubsemiring.subset_closureproof · cited by 10
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