Theorems · Theorem · linear algebra
Matrix.eRank_diagonal
∀ {m : Type um} {R : Type uR} [inst : Field R] [inst_1 : DecidableEq m] (w : m → R),
(Matrix.diagonal w).eRank = {i | w i ≠ 0}.encard- Defined in
- Mathlib.LinearAlgebra.Matrix.Rank
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldDecidableEq
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Set.ofPredstatement and proof · cited by 6,101
- ENatstatement · cited by 4,985
- Set.encardstatement and proof · cited by 327
- Matrix.diagonalstatement · cited by 314
- Cardinal.toENatproof · cited by 92
- Matrix.eRankstatement · cited by 11
- Cardinal.toENat_liftproof · cited by 10
- Matrix.cRank_diagonalproof · cited by 1
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