Theorems · Theorem · commutative algebra

DividedPowerAlgebra.lift_surjective

∀ {R : Type u_2} {M : Type u_3} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {N : Type u_5}
  [inst_3 : AddCommMonoid N] [inst_4 : Module R N] {f : M →ₗ[R] N},
  Function.Surjective ⇑f → Function.Surjective ⇑(DividedPowerAlgebra.map R f)

Defined in: Mathlib.RingTheory.DividedPowerAlgebra.Init
Cited by: 0 results in Mathlib
Foundations: Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommSemiring AddCommMonoid Module AddCommMonoid Module

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