Theorems · Theorem · order theory
Contravariant.AddLECancellable
∀ {α : Type u_1} [inst : Add α] [inst_1 : LE α] [AddLeftReflectLE α] {a : α}, AddLECancellable a- Cited by
- 45 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- AddLEAddLeftReflectLE
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddLeftReflectLEstatement and proof · cited by 119
- AddLECancellablestatement · cited by 87
- le_of_add_le_add_leftproof · cited by 15
Cited by45
Results whose statement or proof uses this declaration.
- add_tsub_cancel_rightproof · cited by 172
- add_tsub_cancel_leftproof · cited by 42
- tsub_add_eq_add_tsubproof · cited by 23
- add_tsub_assoc_of_leproof · cited by 16
- tsub_mulproof · cited by 14
- tsub_eq_iff_eq_add_of_leproof · cited by 12
- le_tsub_of_add_le_leftproof · cited by 11
- mul_tsubproof · cited by 11
- eq_tsub_of_add_eqproof · cited by 11
- tsub_tsub_cancel_of_leproof · cited by 10
- tsub_eq_of_eq_addproof · cited by 7
- tsub_lt_selfproof · cited by 7