Theorems · Theorem · ring theory
NonUnitalSubsemiring.unitization_range
∀ {R : Type u_1} {S : Type u_2} [inst : Semiring R] [inst_1 : SetLike S R] [hSR : NonUnitalSubsemiringClass S R]
(s : S), (NonUnitalSubsemiring.unitization s).range = subalgebraOfSubsemiring (Subsemiring.closure ↑s)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- SetLike.coestatement and proof · cited by 8,199
- AlgHomproof · cited by 3,236
- Subalgebrastatement and proof · cited by 1,353
- SetLikestatement and proof · cited by 1,084
- Unitizationstatement and proof · cited by 220
- AlgHom.rangestatement and proof · cited by 169
- SMulMemClassproof · cited by 77
- Subsemiring.closurestatement and proof · cited by 53
- NonUnitalSubsemiringClassstatement and proof · cited by 22
- subalgebraOfSubsemiringstatement and proof · cited by 4
- NonUnitalSubalgebra.unitization_rangeproof · cited by 2
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