Theorems · Theorem · order theory
lt_add_of_lt_of_pos
∀ {α : Type u_1} [inst : AddZeroClass α] [inst_1 : Preorder α] [AddLeftStrictMono α] {a b c : α},
b < c → 0 < a → b < c + a- Cited by
- 2 results in Mathlib
- Foundations
- Depth 8 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
- add_zeroproof · cited by 2,707
- AddZeroClassstatement and proof · cited by 1,237
- AddLeftStrictMonostatement and proof · cited by 203
- add_lt_add_rightproof · cited by 50
Cited by2
Results whose statement or proof uses this declaration.
- Left.add_posproof · cited by 4
- AddSubmonoid.apply_ne_zero_of_mem_or_neg_mem_closureproof · cited by 3