Theorems · Theorem · linear algebra
Matrix.rank_one
∀ {n : Type un} {R : Type uR} [inst : Fintype n] [inst_1 : CommSemiring R] [inst_2 : DecidableEq n]
[StrongRankCondition R], Matrix.rank 1 = Fintype.card n- Defined in
- Mathlib.LinearAlgebra.Matrix.Rank
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idproof · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- LinearMapproof · cited by 10,215
- Fintypestatement and proof · cited by 7,736
- Submoduleproof · cited by 7,192
- Matrixstatement · cited by 4,303
- Module.finrankproof · cited by 1,770
- Fintype.cardstatement and proof · cited by 1,386
- LinearMap.rangeproof · cited by 893
- StrongRankConditionstatement and proof · cited by 286
- Matrix.rankstatement · cited by 48
- finrank_topproof · cited by 31
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.rank_unitproof · cited by 1