Theorems · Theorem · ring theory
Quaternion.rank_eq_four
∀ {R : Type u_3} [inst : CommRing R] [StrongRankCondition R], Module.rank R (Quaternion R) = 4- Defined in
- Mathlib.Algebra.Quaternion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingStrongRankCondition
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Cardinalstatement · cited by 2,598
- Module.rankstatement · cited by 496
- StrongRankConditionstatement and proof · cited by 286
- Quaternionstatement · cited by 206
- QuaternionAlgebra.rank_eq_fourproof · cited by 2
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