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Theorems · Theorem · order theory

AddLECancellable.of_add_right

∀ {α : Type u_1} [inst : LE α] [inst_1 : AddSemigroup α] [AddLeftMono α] {a b : α},
  AddLECancellable (a + b) → AddLECancellable b
Defined in
Mathlib.Algebra.Order.Monoid.Unbundled.Basic
Cited by
3 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
LEAddSemigroupAddLeftMono
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Around this declaration

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

AddLECancellable.tsub_eq_of_eq_add' · cited by 3AddLECancellable.tsub_eq_…AddLECancellable.of_add_left · cited by 1AddLECancellable.of_add_l…addLECancellable_add · cited by 1addLECancellable_addadd_assoc · cited by 746add_assocAddLeftMono · cited by 687AddLeftMonoAddSemigroup · cited by 136AddSemigroupAddLECancellable · cited by 87AddLECancellableadd_le_add_right · cited by 37add_le_add_rightAddLECancellable.of_add_rightCITED BYCITES

Cites5

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Cited by3

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