Theorems · Theorem · order theory

le_tsub_of_add_le_right

∀ {α : Type u_1} [inst : Preorder α] [inst_1 : AddCommSemigroup α] [inst_2 : Sub α] [OrderedSub α] {a b c : α}
  [AddLeftReflectLE α], a + b ≤ c → a ≤ c - b

Defined in

Mathlib.Algebra.Order.Sub.Defs

Cited by

6 results in Mathlib

Foundations

Depth 10 from the axioms · uses propext

Assumes

PreorderAddCommSemigroupSubOrderedSubAddLeftReflectLE