Theorems · Theorem · linear algebra
Matrix.cRank_subsingleton
∀ {m : Type um} {n : Type un} {R : Type uR} [inst : Semiring R] [Subsingleton R] (A : Matrix m n R), A.cRank = 1- Defined in
- Mathlib.LinearAlgebra.Matrix.Rank
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringSubsingleton
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Set.rangeproof · cited by 4,705
- Matrixstatement and proof · cited by 4,303
- Cardinalstatement · cited by 2,598
- Submodule.spanproof · cited by 1,504
- Matrix.colproof · cited by 56
- rank_subsingletonproof · cited by 19
- Matrix.cRankstatement · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.eRank_subsingletonproof · cited by 0