Theorems · Theorem · commutative algebra
CommRing.Pic.mk_eq_self
∀ {R : Type u} [inst : CommSemiring R] {M : CommRing.Pic R}, CommRing.Pic.mk R M.AsModule = M- Defined in
- Mathlib.RingTheory.PicardGroup
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Equivstatement · cited by 8,337
- Equiv.symmstatement · cited by 3,681
- Unitsstatement · cited by 2,804
- Units.valstatement · cited by 1,966
- LinearEquiv.reflproof · cited by 143
- Quotient.outstatement · cited by 141
- Shrinkstatement · cited by 132
- equivShrinkstatement · cited by 118
- SemimoduleCatstatement · cited by 108
- CommRing.Picstatement and proof · cited by 37
Cited by5
Results whose statement or proof uses this declaration.
- Submodule.range_unitsToPicproof · cited by 4
- CommRing.Pic.subsingleton_iffₛproof · cited by 1
- CommRing.Pic.mul_eq_tensorproof · cited by 0
- CommRing.Pic.ext_iffproof · cited by 0
- CommRing.Pic.inv_eq_dualproof · cited by 0