Theorems · Theorem · linear algebra
Matrix.map_one
∀ {n : Type u_3} {α : Type v} {β : Type w} [inst : DecidableEq n] [inst_1 : Zero α] [inst_2 : One α] [inst_3 : Zero β]
[inst_4 : One β] (f : α → β), f 0 = 0 → f 1 = 1 → Matrix.map 1 f = 1- Defined in
- Mathlib.Data.Matrix.Diagonal
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- DecidableEqZeroOneZeroOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matrixstatement · cited by 4,303
- Matrix.extproof · cited by 540
- Matrix.mapstatement · cited by 247
Cited by15
Results whose statement or proof uses this declaration.
- matPolyEquiv_symm_Xproof · cited by 4
- Matrix.reverse_charpolyproof · cited by 3
- Matrix.conjTranspose_oneproof · cited by 2
- Matrix.mem_subfield_of_mul_eq_one_of_mem_subfield_rightproof · cited by 1
- CongruenceSubgroup.exists_Gamma_le_conjproof · cited by 1
- Matrix.map_Jproof · cited by 1
- IsStablyFiniteRing.of_injectiveproof · cited by 1
- Polynomial.leadingCoeff_det_X_one_add_Cproof · cited by 1
- MulOpposite.rankCondition_iffproof · cited by 0
- MulOpposite.invariantBasisNumber_iffproof · cited by 0
- Matrix.GeneralLinearGroup.coe_map_inv_mul_mapproof · cited by 0
- Matrix.GeneralLinearGroup.coe_map_mul_map_invproof · cited by 0