Theorems · Theorem · commutative algebra
DividedPowerAlgebra.mkAlgHom_surjective
∀ {R : Type u_2} {M : Type u_3} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M],
Function.Surjective ⇑(RingCon.mkₐ R (DividedPowerAlgebra.ringCon R M))- Cited by
- 2 results in Mathlib
- Foundations
- Depth 84 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 · 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
- Finsuppstatement · cited by 5,255
- AlgHomstatement · cited by 3,236
- MvPolynomialstatement · cited by 2,140
- RingCon.Quotientstatement · cited by 118
- DividedPowerAlgebra.ringConstatement · cited by 49
- RingCon.mkₐstatement · cited by 21
- Quotient.mk_surjectiveproof · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- DividedPowerAlgebra.algHom_ext_iffproof · cited by 3
- DividedPowerAlgebra.lift_surjectiveproof · cited by 0