Theorems · Theorem · ring theory
QuadraticAlgebra.finrank_eq_two
∀ {R : Type u_1} (a b : R) [inst : Semiring R] [StrongRankCondition R], Module.finrank R (QuadraticAlgebra R a b) = 2- Defined in
- Mathlib.Algebra.QuadraticAlgebra.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringStrongRankCondition
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Module.finrankstatement · cited by 1,770
- StrongRankConditionstatement and proof · cited by 286
- Cardinal.toNatproof · cited by 153
- QuadraticAlgebrastatement · cited by 123
- Cardinal.toNat_ofNatproof · cited by 2
- QuadraticAlgebra.rank_eq_twoproof · cited by 1
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