Theorems · Theorem · commutative algebra
Shrink.algEquiv_symm_apply
∀ (R : Type u_1) (α : Type u_2) [inst : Small.{v, u_2} α] [inst_1 : CommSemiring R] [inst_2 : Semiring α]
[inst_3 : Algebra R α] (a : α), (Shrink.algEquiv R α).symm a = (equivShrink α) a- Defined in
- Mathlib.Algebra.Algebra.Shrink
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
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.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
- Equivstatement · cited by 8,337
- AlgEquivstatement · cited by 1,681
- AlgEquiv.symmstatement and proof · cited by 615
- Smallstatement and proof · cited by 369
- Shrinkstatement · cited by 132
- equivShrinkstatement · cited by 118
- Shrink.algEquivstatement and proof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.FormallyUnramified.iff_comp_injective_of_smallproof · cited by 4