Theorems · Theorem · order theory
neg_add_lt_iff_lt_add
∀ {α : Type u} [inst : AddGroup α] [inst_1 : LT α] [AddLeftStrictMono α] {a b c : α}, -b + a < c ↔ a < b + c- Cited by
- 6 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- AddGroupLTAddLeftStrictMono
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.
- AddGroupstatement and proof · cited by 4,410
- AddLeftStrictMonostatement and proof · cited by 203
- add_neg_cancel_leftproof · cited by 76
- add_lt_add_iff_leftproof · cited by 30
Cited by6
Results whose statement or proof uses this declaration.
- neg_lt_sub_iff_lt_addproof · cited by 3
- lt_add_of_neg_add_ltproof · cited by 1
- neg_add_lt_iff_lt_add'proof · cited by 1
- neg_add_lt_of_lt_addproof · cited by 0
- neg_add_neg_iffproof · cited by 0
- add_neg_lt_iff_le_add'proof · cited by 0