Theorems · Theorem · group theory
ModularGroup.T_mul_apply_one
∀ (g : Matrix.SpecialLinearGroup (Fin 2) ℤ), ↑(ModularGroup.T * g) 1 = ↑g 1
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- pow_oneproof · cited by 894
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- Matrix.detstatement · cited by 665
- Matrix.SpecialLinearGroupstatement and proof · cited by 348
- Matrix.ofproof · cited by 336
- Equiv.symm_apply_applyproof · cited by 320
- Matrix.vecMulproof · cited by 148
- zpow_ofNatproof · cited by 144
Cited by1
Results whose statement or proof uses this declaration.
- ModularGroup.exists_smul_mem_fdproof · cited by 2