Mathlib Map

Theorems · Theorem · order theory

addLECancellable_add

∀ {α : Type u_1} [inst : LE α] [inst_1 : AddCommSemigroup α] [AddLeftMono α] {a b : α},
  AddLECancellable (a + b) ↔ AddLECancellable a ∧ AddLECancellable b
Defined in
Mathlib.Algebra.Order.Monoid.Unbundled.Basic
Cited by
1 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Assumes
LEAddCommSemigroupAddLeftMono
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Finset.addLECancellable_sum · cited by 0Finset.addLECancellable_s…AddLeftMono · cited by 687AddLeftMonoAddCommSemigroup · cited by 178AddCommSemigroupAddLECancellable · cited by 87AddLECancellableAddLECancellable.of_add_right · cited by 3AddLECancellable.of_add_r…AddLECancellable.add · cited by 1AddLECancellable.addAddLECancellable.of_add_left · cited by 1AddLECancellable.of_add_l…addLECancellable_addCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.