Theorems · Theorem · geometry

Projectivization.Subspace.spanCarrier.brecOn

∀ {K : Type u_1} {V : Type u_2} [inst : DivisionRing K] [inst_1 : AddCommGroup V] [inst_2 : Module K V]
  {S : Set (Projectivization K V)}
  {motive : (a : Projectivization K V) → Projectivization.Subspace.spanCarrier S a → Prop} {a : Projectivization K V}
  (t : Projectivization.Subspace.spanCarrier S a),
  (∀ (a : Projectivization K V) (t : Projectivization.Subspace.spanCarrier S a),
      Projectivization.Subspace.spanCarrier.below t → motive a t) →
    motive a t

Defined in

Mathlib.LinearAlgebra.Projectivization.Subspace

Cited by

0 results in Mathlib

Foundations

Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DivisionRingAddCommGroupModule