Theorems · Theorem · group theory
FixedDetMatrices.reps_one_id
∀ (A : FixedDetMatrix (Fin 2) ℤ 1), ↑A 1 0 = 0 → 0 < ↑A 0 0 → |↑A 0 1| < |↑A 1 1| → A = 1
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matrixstatement · cited by 4,303
- absstatement and proof · cited by 1,814
- Matrix.detstatement · cited by 665
- Matrix.SpecialLinearGroupstatement · cited by 348
- Fintype.elemsproof · cited by 194
- Fintype.completeproof · cited by 192
- abs_oneproof · cited by 87
- Matrix.one_apply_neproof · cited by 39
- Matrix.one_apply_eqproof · cited by 35
- FixedDetMatrixstatement and proof · cited by 19
- Int.mul_eq_one_iff_eq_one_or_neg_oneproof · cited by 6
- FixedDetMatrices.extproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- SpecialLinearGroup.SL2Z_generatorsproof · cited by 2