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Theorems · Theorem · geometry

Projectivization.Subspace.ext

∀ {K : Type u_1} {V : Type u_2} {inst : DivisionRing K} {inst_1 : AddCommGroup V} {inst_2 : Module K V}
  {x y : Projectivization.Subspace K V}, x.carrier = y.carrier → x = y
Defined in
Mathlib.LinearAlgebra.Projectivization.Subspace
Cited by
2 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
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Projectivization.Subspace.span_eq_sInf · cited by 0Subspace.span_eq_sInfProjectivization.Subspace.ext_iff · cited by 0Subspace.ext_iffSet · cited by 53352SetModule · cited by 20661ModuleAddCommGroup · cited by 12871AddCommGroupDivisionRing · cited by 1062DivisionRingProjectivization · cited by 111ProjectivizationProjectivization.mk · cited by 55Projectivization.mkProjectivization.Subspace · cited by 34Projectivization.SubspaceProjectivization.Subspace.carrier · cited by 4Subspace.carrierSubspace.extCITED BYCITES

Cites8

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