Theorems · Theorem · linear algebra

Matrix.transposeLinearEquiv_apply

∀ (m : Type u_2) (n : Type u_3) (R : Type u_7) (α : Type u_11) [inst : Semiring R] [inst_1 : AddCommMonoid α]
  [inst_2 : Module R α] (a : Matrix m n α),
  (Matrix.transposeLinearEquiv m n R α) a = (Matrix.transposeAddEquiv m n α).toFun a

Defined in: Mathlib.Data.Matrix.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 26 from the axioms · uses propext, Quot.sound
Assumes: Semiring AddCommMonoid Module

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DFunLike.coestatement and proof · cited by 62,936
Modulestatement and proof · cited by 20,661
RingHom.idstatement · cited by 18,349
Semiringstatement and proof · cited by 13,802
AddCommMonoidstatement and proof · cited by 12,281
Matrixstatement and proof · cited by 4,303
LinearEquivstatement · cited by 3,317
Equiv.toFunstatement · cited by 279
AddEquiv.toEquivstatement · cited by 174
Matrix.transposeAddEquivstatement · cited by 11
Matrix.transposeLinearEquivstatement and proof · cited by 2

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