Theorems · Theorem · order theory
lt_sub_right_of_add_lt
∀ {α : Type u} [inst : AddGroup α] [inst_1 : LT α] [AddRightStrictMono α] {a b c : α}, a + b < c → a < c - bAlias of the reverse direction of lt_sub_iff_add_lt.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
- Assumes
- AddGroupLTAddRightStrictMono
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.
- AddGroupstatement and proof · cited by 4,410
- AddRightStrictMonostatement and proof · cited by 160
- lt_sub_iff_add_ltproof · cited by 24
Cited by1
Results whose statement or proof uses this declaration.
- RootPairing.setOfPred_root_add_zsmul_eq_Icc_of_linearIndependentproof · cited by 5