Theorems · Theorem · geometry

AffineSubspace.direction_iInf_of_mem

∀ {k : Type u_1} {V : Type u_2} {P : Type u_3} [inst : Ring k] [inst_1 : AddCommGroup V] [inst_2 : Module k V]
  [S : AddTorsor V P] {ι : Sort u_4} (s : ι → AffineSubspace k P) (p : P),
  (∀ (i : ι), p ∈ s i) → (iInf s).direction = ⨅ i, (s i).direction

Defined in

Mathlib.LinearAlgebra.AffineSpace.AffineSubspace.Defs

Cited by

0 results in Mathlib

Foundations

Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsor