Theorems · Theorem · ring theory
NonUnitalSubsemiring.mem_closure_of_mem
∀ {R : Type u} [inst : NonUnitalNonAssocSemiring R] {s : Set R} {x : R}, x ∈ s → x ∈ NonUnitalSubsemiring.closure s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalNonAssocSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- NonUnitalSubsemiringstatement · cited by 201
- NonUnitalSubsemiring.closurestatement · cited by 31
- NonUnitalSubsemiring.subset_closureproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- Submonoid.subsemiringClosure_toNonUnitalSubsemiringproof · cited by 1