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Theorems · Definition · linear algebra

Matrix.transposeAddEquiv

(m : Type u_2) → (n : Type u_3) → (α : Type u_11) → [inst : Add α] → Matrix m n α ≃+ Matrix n m α

Matrix.transpose as an AddEquiv

Defined in
Mathlib.Data.Matrix.Basic
Cited by
11 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
Add
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Matrix.transposeRingEquiv · cited by 4Matrix.transposeRingEquivMatrix.transposeAddEquiv_apply · cited by 3Matrix.transposeAddEquiv_…Matrix.transposeLinearEquiv · cited by 2Matrix.transposeLinearEqu…HasSum.matrix_transpose · cited by 1HasSum.matrix_transposeAlgebra.traceMatrix_of_matrix_mulVec · cited by 1Algebra.traceMatrix_of_ma…Matrix.transpose_multiset_sum · cited by 0Matrix.transpose_multiset…MulOpposite.invariantBasisNumber_iff · cited by 0MulOpposite.invariantBasi…Matrix.transpose_sum · cited by 0Matrix.transpose_sumMatrix.transposeAddEquiv_symm · cited by 0Matrix.transposeAddEquiv_…summable_matrix_transpose · cited by 0summable_matrix_transposeMulOpposite.rankCondition_iff · cited by 0MulOpposite.rankCondition…Matrix.transpose_list_sum · cited by 0Matrix.transpose_list_sumMatrix.transposeLinearEquiv_apply · cited by 0Matrix.transposeLinearEqu…Matrix · cited by 4303MatrixAddEquiv · cited by 1087AddEquivMatrix.transpose · cited by 389Matrix.transposeMatrix.transpose_transpose · cited by 33Matrix.transpose_transposeMatrix.transpose_add · cited by 1Matrix.transpose_addMatrix.transposeAddEquivCITED BYCITES

Cites5

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Cited by13

Results whose statement or proof uses this declaration.