Theorems · Theorem · general topology
OnePoint.smul_infty_eq_self_iff
∀ {K : Type u_1} [inst : Field K] [inst_1 : DecidableEq K] {g : GL (Fin 2) K},
g • OnePoint.infty = OnePoint.infty ↔ ↑g 1 0 = 0- Cited by
- 5 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- Matrixstatement · cited by 4,303
- Units.valstatement and proof · cited by 1,966
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- OnePointstatement · cited by 126
- OnePoint.inftystatement and proof · cited by 102
- OnePoint.smul_infty_eq_iteproof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- Subgroup.isCusp_of_mem_strictPeriodsproof · cited by 6
- Subgroup.strictWidthInfty_pos_iffproof · cited by 5
- OnePoint.isBoundedAt_infty_iffproof · cited by 3
- OnePoint.isZeroAt_infty_iffproof · cited by 2
- Matrix.GeneralLinearGroup.IsElliptic.smul_ne_selfproof · cited by 0