Theorems · Theorem · order theory
AddLECancellable.inj_left
∀ {α : Type u_1} [inst : Add α] [IsAddCommutative α] [inst_2 : PartialOrder α] {a b c : α},
AddLECancellable c → (a + c = b + c ↔ a = b)- Cited by
- 6 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- AddLECancellablestatement and proof · cited by 87
- IsAddCommutativestatement and proof · cited by 40
- AddLECancellable.injective_leftproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- Set.encard_eq_threeproof · cited by 2
- Set.encard_eq_twoproof · cited by 2
- ENNReal.add_left_injproof · cited by 2
- Set.encard_eq_encard_iff_encard_sdiff_eq_encard_sdiffproof · cited by 1
- Set.encard_eq_fourproof · cited by 1
- Set.Finite.eq_insert_of_subset_of_encard_eq_succproof · cited by 0