Theorems · Theorem · general topology
OnePoint.smul_some_eq_ite
∀ {K : Type u_1} [inst : Field K] [inst_1 : DecidableEq K] {g : GL (Fin 2) K} {k : K},
g • ↑k = if ↑g 1 0 * k + ↑g 1 1 = 0 then OnePoint.infty else ↑((↑g 0 0 * k + ↑g 0 1) / (↑g 1 0 * k + ↑g 1 1))- Cited by
- 2 results in Mathlib
- Foundations
- Depth 86 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.
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
- Fieldstatement and proof · cited by 7,404
- Matrixstatement · cited by 4,303
- Equiv.symmproof · cited by 3,681
- Finset.univproof · cited by 3,473
- Finset.sum_congrproof · cited by 2,323
- mul_commproof · cited by 2,262
- Units.valstatement and proof · cited by 1,966
- one_smulproof · cited by 1,374
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
Cited by2
Results whose statement or proof uses this declaration.
- OnePoint.map_smulproof · cited by 2
- Matrix.GeneralLinearGroup.fixpointPolynomial_aeval_eq_zero_iffproof · cited by 0