Theorems · Theorem · linear algebra
Matrix.map_mul_ratCast
∀ {n : Type u_2} [inst : Fintype n] {α : Type u_3} [inst_1 : DivisionRing α] [CharZero α] (A B : Matrix n n ℚ),
(A * B).map Rat.cast = A.map Rat.cast * B.map Rat.cast- Defined in
- Mathlib.LinearAlgebra.Matrix.Integer
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDivisionRingCharZero
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Cites6
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- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- DivisionRingstatement and proof · cited by 1,062
- CharZerostatement and proof · cited by 932
- Matrix.mapstatement · cited by 247
- Matrix.map_mulproof · cited by 9
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