Theorems · Theorem · functional analysis

star_left_conjugate_lt_conjugate

∀ {R : Type u_1} [inst : NonUnitalSemiring R] [inst_1 : PartialOrder R] [inst_2 : StarRing R] [StarOrderedRing R]
  {a b : R}, a < b → ∀ {c : R}, IsRegular c → star c * a * c < star c * b * c

Defined in

Mathlib.Algebra.Order.Star.Basic

Cited by

2 results in Mathlib

Foundations

Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NonUnitalSemiringPartialOrderStarRingStarOrderedRing