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Theorems · Theorem · general topology

OnePoint.equivProjectivization_smul

∀ {K : Type u_1} [inst : Field K] [inst_1 : DecidableEq K] {g : GL (Fin 2) K} (x : OnePoint K),
  (OnePoint.equivProjectivization K) (g • x) = g • (OnePoint.equivProjectivization K) x
Defined in
Mathlib.Topology.Compactification.OnePoint.ProjectiveLine
Cited by
0 results in Mathlib
Foundations
Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldDecidableEq
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DFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivField · cited by 7404FieldMatrix · cited by 4303MatrixMatrix.GeneralLinearGroup · cited by 556Matrix.GeneralLinearGroupEquiv.apply_symm_apply · cited by 346Equiv.apply_symm_applyOnePoint · cited by 126OnePointProjectivization · cited by 111ProjectivizationOnePoint.equivProjectivization · cited by 7OnePoint.equivProjectiviz…Equiv.smul_def · cited by 1Equiv.smul_defOnePoint.equivProjectivizatio…CITED BYCITES

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