Theorems · Theorem · order theory
add_tsub_add_eq_tsub_left
∀ {α : Type u_1} [inst : PartialOrder α] [inst_1 : AddCommSemigroup α] [inst_2 : Sub α] [OrderedSub α] [AddLeftMono α]
[AddLeftReflectLE α] (a b c : α), a + b - (a + c) = b - c- Defined in
- Mathlib.Algebra.Order.Sub.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- add_commproof · cited by 1,535
- AddLeftMonostatement and proof · cited by 687
- OrderedSubstatement and proof · cited by 236
- AddCommSemigroupstatement and proof · cited by 178
- AddLeftReflectLEstatement and proof · cited by 119
- add_tsub_add_eq_tsub_rightproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- tsub_tsub_eq_add_tsub_of_leproof · cited by 1
- Nat.pred_mul_geom_sum_leproof · cited by 1
- NNReal.dist_gm_am_leproof · cited by 1