Theorems · Theorem · linear algebra
Matrix.rank_le_width
∀ {R : Type uR} [inst : CommSemiring R] [StrongRankCondition R] {m n : ℕ} (A : Matrix (Fin m) (Fin n) R), A.rank ≤ n- Defined in
- Mathlib.LinearAlgebra.Matrix.Rank
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Matrixstatement and proof · cited by 4,303
- LE.le.transproof · cited by 3,151
- Eq.leproof · cited by 605
- StrongRankConditionstatement and proof · cited by 286
- Fintype.card_finproof · cited by 270
- Matrix.rankstatement · cited by 48
- Matrix.rank_le_card_widthproof · cited by 3
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