Theorems · Theorem · geometry

AffineSubspace.ext

∀ {k : Type u_1} {V : Type u_2} {P : Type u_3} [inst : Ring k] [inst_1 : AddCommGroup V] [inst_2 : Module k V]
  [inst_3 : AddTorsor V P] {p q : AffineSubspace k P}, (∀ (x : P), x ∈ p ↔ x ∈ q) → p = q

Defined in

Mathlib.LinearAlgebra.AffineSpace.AffineSubspace.Defs

Cited by

16 results in Mathlib

Foundations

Depth 13 from the axioms · uses propext, Quot.sound

Assumes

RingAddCommGroupModuleAddTorsor