Theorems · Theorem · commutative algebra
CommRing.Pic.mapAlgebra_self_apply
∀ {R : Type u} [inst : CommSemiring R] {M : CommRing.Pic R}, (CommRing.Pic.mapAlgebra R R) M = M- Defined in
- Mathlib.RingTheory.PicardGroup
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 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.
Cites8
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
- MonoidHomstatement · cited by 3,629
- TensorProduct.lidproof · cited by 96
- CommRing.Picstatement and proof · cited by 37
- CommRing.Pic.AsModuleproof · cited by 11
- CommRing.Pic.mapAlgebrastatement · cited by 10
- CommRing.Pic.mk_eq_iffproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- CommRing.Pic.mapAlgebra_selfproof · cited by 1