Theorems · Theorem · commutative algebra
CommRing.Pic.ext_iff
∀ {R : Type u} [inst : CommSemiring R] {M N : CommRing.Pic R}, M = N ↔ Nonempty (M.AsModule ≃ₗ[R] N.AsModule)- Defined in
- Mathlib.RingTheory.PicardGroup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- Equivstatement · cited by 8,337
- Equiv.symmstatement · cited by 3,681
- LinearEquivstatement · cited by 3,317
- Unitsstatement · cited by 2,804
- Units.valstatement · cited by 1,966
- Quotient.outstatement · cited by 141
- Shrinkstatement · cited by 132
- equivShrinkstatement · cited by 118
- SemimoduleCatstatement · cited by 108
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