Theorems · Theorem · order theory
tsub_tsub_le_tsub_add
∀ {α : Type u_1} [inst : Preorder α] [inst_1 : AddCommSemigroup α] [inst_2 : Sub α] [OrderedSub α] [AddLeftMono α]
{a b c : α}, a - (b - c) ≤ a - b + c- Defined in
- Mathlib.Algebra.Order.Sub.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- le_reflproof · cited by 2,061
- add_assocproof · cited by 746
- AddLeftMonostatement and proof · cited by 687
- add_le_addproof · cited by 666
- le_imp_le_of_le_of_leproof · cited by 576
- OrderedSubstatement and proof · cited by 236
- AddCommSemigroupstatement and proof · cited by 178
- tsub_le_iff_rightproof · cited by 49
- le_add_tsubproof · cited by 14
- le_tsub_addproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- Finset.local_lubell_yamamoto_meshalkin_inequality_mulproof · cited by 2