Theorems · Definition · ring theory
Algebra.IsCentral.recOn
{K : Type u} →
[inst : CommSemiring K] →
{D : Type v} →
[inst_1 : Semiring D] →
[inst_2 : Algebra K D] →
{motive : Algebra.IsCentral K D → Sort u_1} →
(t : Algebra.IsCentral K D) → ((out : Subalgebra.center K D ≤ ⊥) → motive ⋯) → motive t- Defined in
- Mathlib.Algebra.Central.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Bot.botstatement and proof · cited by 4,720
- Subalgebrastatement · cited by 1,353
- Subalgebra.centerstatement and proof · cited by 24
- Algebra.IsCentralstatement and proof · cited by 17
Cited by0
Results whose statement or proof uses this declaration.
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