Theorems · Theorem · order theory

tsub_le_tsub_left

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

Defined in

Mathlib.Algebra.Order.Sub.Defs

Cited by

15 results in Mathlib

Foundations

Depth 8 from the axioms · uses propext, Quot.sound

Assumes

PreorderAddCommSemigroupSubOrderedSubAddLeftMono