Theorems · Theorem · commutative algebra
Submodule.unitsToPic_apply
∀ (R : Type u) (A : Type u_4) [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A] [inst_3 : FaithfulSMul R A] (I : (Submodule R A)ˣ), (Submodule.unitsToPic R A) I = CommRing.Pic.mk R ↥↑I
- Defined in
- Mathlib.RingTheory.PicardGroup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Submodulestatement and proof · cited by 7,192
- MonoidHomstatement · cited by 3,629
- Unitsstatement and proof · cited by 2,804
- Units.valstatement · cited by 1,966
- FaithfulSMulstatement and proof · cited by 340
- CommRing.Picstatement · cited by 37
- CommRing.Pic.mkstatement · cited by 17
- Submodule.unitsToPicstatement and proof · cited by 10
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