Theorems · Theorem · combinatorics
Matrix.isHadamard_submatrix_equiv_iff
∀ {m : Type u_1} {n : Type u_2} {R : Type u_3} [inst : Fintype m] [inst_1 : Fintype n] [inst_2 : DecidableEq m]
[inst_3 : DecidableEq n] [inst_4 : Semiring R] [inst_5 : StarRing R] {A : Matrix n n R} (e₁ e₂ : m ≃ n),
(A.submatrix ⇑e₁ ⇑e₂).IsHadamard ↔ A.IsHadamard- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Equivstatement and proof · cited by 8,337
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- Equiv.symmproof · cited by 3,681
- StarRingstatement and proof · cited by 1,686
- Matrix.submatrixstatement and proof · cited by 183
- Matrix.reindexproof · cited by 102
- Equiv.self_comp_symmproof · cited by 28
- Matrix.submatrix_submatrixproof · cited by 24
- Matrix.IsHadamardstatement and proof · cited by 24
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