Theorems · Theorem · group theory
ModularGroup.T_pow_mul_apply_one
∀ (n : ℤ) (g : Matrix.SpecialLinearGroup (Fin 2) ℤ), ↑(ModularGroup.T ^ n * g) 1 = ↑g 1
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Matrixstatement · cited by 4,303
- Equiv.symmproof · cited by 3,681
- Finset.univproof · cited by 3,473
- one_mulproof · cited by 2,841
- zero_addproof · cited by 2,366
- Finset.sum_congrproof · cited by 2,323
- MulZeroClass.zero_mulproof · cited by 1,625
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- Matrix.detstatement · cited by 665
- Matrix.SpecialLinearGroupstatement and proof · cited by 348
Cited by2
Results whose statement or proof uses this declaration.
- ModularGroup.T_inv_mul_apply_oneproof · cited by 1
- ModularGroup.T_mul_apply_oneproof · cited by 1