Theorems · Theorem · order theory
add_lt_add_right
∀ {α : Type u_1} [inst : Add α] [inst_1 : LT α] [AddLeftStrictMono α] {b c : α}, b < c → ∀ (a : α), a + b < a + c- Cited by
- 50 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- AddLTAddLeftStrictMono
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddLeftStrictMonostatement and proof · cited by 203
- CovariantClass.elimproof · cited by 22
Cited by50
Results whose statement or proof uses this declaration.
- lt_add_of_pos_rightproof · cited by 51
- add_lt_add_of_le_of_ltproof · cited by 31
- add_lt_add_of_lt_of_ltproof · cited by 13
- lt_add_of_le_of_posproof · cited by 11
- ONote.NFBelow.repr_ltproof · cited by 7
- Real.sigmoid_strictMonoproof · cited by 5
- Ordinal.lt_add_iffproof · cited by 4
- ProbabilityTheory.add_half_inf_sub_mem_Iooproof · cited by 4
- WithTop.add_lt_add_leftproof · cited by 4
- Cardinal.beth_strictMonoproof · cited by 3
- lt_add_of_lt_of_posproof · cited by 2
- add_right_strictMonoproof · cited by 2