Theorems · Definition · linear algebra
Algebra.IsQuadraticExtension.casesOn
{R : Type u_2} →
{S : Type u_3} →
[inst : CommSemiring R] →
[inst_1 : StrongRankCondition R] →
[inst_2 : Semiring S] →
[inst_3 : Algebra R S] →
{motive : Algebra.IsQuadraticExtension R S → Sort u} →
(t : Algebra.IsQuadraticExtension R S) →
([toFree : Module.Free R S] → (finrank_eq_two' : Module.finrank R S = 2) → motive ⋯) → motive t- Cited by
- 0 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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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
- Module.finrankstatement and proof · cited by 1,770
- Module.Freestatement and proof · cited by 597
- StrongRankConditionstatement and proof · cited by 286
- Algebra.IsQuadraticExtensionstatement and proof · cited by 11
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