Theorems · Theorem · number theory

sigPos_isGreatest

∀ {R : Type u_1} {M : Type u_2} [inst : AddCommGroup M] [inst_1 : CommRing R] [inst_2 : LinearOrder R]
  [inst_3 : Module R M] (Q : QuadraticForm R M) [Module.Finite R M] [StrongRankCondition R],
  IsGreatest {r | ∃ V, Module.finrank R ↥V = r ∧ (QuadraticMap.restrict Q V).PosDef} (sigPos Q)

Defining property of sigPos.

Defined in

Mathlib.LinearAlgebra.QuadraticForm.Signature

Cited by

4 results in Mathlib

Foundations

Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupCommRingLinearOrderModuleModule.FiniteStrongRankCondition