Theorems · Theorem · commutative algebra
CommRing.Pic.mk_self
∀ {R : Type u} [inst : CommSemiring R], CommRing.Pic.mk R R = 1- Defined in
- Mathlib.RingTheory.PicardGroup
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 104 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Unitsproof · cited by 2,804
- equivShrinkproof · cited by 118
- SemimoduleCatproof · cited by 108
- Units.extproof · cited by 86
- CommRing.Picstatement · cited by 37
- CategoryTheory.Skeletonproof · cited by 35
- CommRing.Pic.mkstatement · cited by 17
- LinearEquiv.toModuleIsoₛproof · cited by 7
- Module.Finite.reprEquivₛproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- CommRing.Pic.mk_eq_one_iffproof · cited by 4