Theorems · Theorem · general topology
OnePoint.smul_infty_def
∀ {K : Type u_1} [inst : Field K] [inst_1 : DecidableEq K] {g : GL (Fin 2) K},
g • OnePoint.infty = (OnePoint.equivProjectivization K).symm (Projectivization.mk K ![↑g 0 0, ↑g 1 0] ⋯)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 97 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.
Cites28
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement · cited by 8,337
- Fieldstatement and proof · cited by 7,404
- Matrixstatement · cited by 4,303
- Equiv.symmstatement and proof · cited by 3,681
- Finset.univproof · cited by 3,473
- add_zeroproof · cited by 2,707
- Finset.sum_congrproof · cited by 2,323
- Units.valstatement and proof · cited by 1,966
- one_smulproof · cited by 1,374
- Matrix.vecConsstatement and proof · cited by 852
- Matrix.vecEmptystatement and proof · cited by 832
Cited by1
Results whose statement or proof uses this declaration.
- OnePoint.smul_infty_eq_iteproof · cited by 4