Theorems · Theorem · commutative algebra
Algebra.IsEffective.of_section
∀ {R : Type u_1} [inst : CommSemiring R] {S : Type u_2} [inst_1 : Ring S] [inst_2 : Algebra R S] (g : S →ₐ[R] R),
Algebra.IsEffective R SIsEffective is true for any R-algebra S having an R-algebra section of
Algebra.ofId _ _ : R →ₐ[R] S.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Quot.sound
- Assumes
- CommSemiringRingAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- smul_eq_mulproof · cited by 357
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.IsEffective.of_faithfullyFlatproof · cited by 1