Theorems · Theorem · order theory
lt_add_of_nonneg_of_lt
∀ {α : Type u_1} [inst : AddZeroClass α] [inst_1 : Preorder α] [AddRightMono α] {a b c : α}, 0 ≤ a → b < c → b < a + c- Cited by
- 4 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- zero_addproof · cited by 2,366
- AddZeroClassstatement and proof · cited by 1,237
- AddRightMonostatement and proof · cited by 367
- add_le_add_leftproof · cited by 37
Cited by4
Results whose statement or proof uses this declaration.
- Right.add_pos_of_nonneg_of_posproof · cited by 137
- Nat.ceil_add_natCastproof · cited by 4
- lt_add_of_pos_of_lt'proof · cited by 1
- Nat.Partition.tendsto_order_genFun_term_atTop_nhds_topproof · cited by 1