Theorems · Theorem · ring theory
SymmetricAlgebra.algebraMap_leftInverse
∀ {R : Type u_1} (M : Type u_2) [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M],
Function.LeftInverse ⇑SymmetricAlgebra.algebraMapInv ⇑(algebraMap R (SymmetricAlgebra R M))- Cited by
- 3 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Modulestatement and proof · cited by 20,661
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Algebra.algebraMapstatement · cited by 4,706
- AlgHomstatement · cited by 3,236
- AlgHom.commutesproof · cited by 96
- TensorAlgebrastatement · cited by 81
- SymmetricAlgebrastatement · cited by 28
- TensorAlgebra.symRingConstatement · cited by 27
- SymmetricAlgebra.liftproof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- SymmetricAlgebra.algebraMap_injproof · cited by 0
- SymmetricAlgebra.algebraMap_eq_one_iffproof · cited by 0
- SymmetricAlgebra.algebraMap_eq_zero_iffproof · cited by 0