Theorems · Theorem · order theory
lt_of_add_lt_add_right
∀ {α : Type u_1} [inst : Add α] [inst_1 : LT α] [i : AddRightReflectLT α] {a b c : α}, b + a < c + a → b < c- Cited by
- 11 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- AddLTAddRightReflectLT
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.
- AddRightReflectLTstatement and proof · cited by 29
- ContravariantClass.elimproof · cited by 12
Cited by11
Results whose statement or proof uses this declaration.
- Odd.strictMono_powproof · cited by 7
- WithBot.add_lt_add_iff_rightproof · cited by 3
- WithTop.add_lt_add_iff_rightproof · cited by 2
- Set.Ico_add_bijproof · cited by 1
- Nat.fib_strictMonoOnproof · cited by 1
- Set.Ioo_add_bijproof · cited by 1
- Submodule.iUnion_ssubset_of_forall_ne_top_of_card_ltproof · cited by 1
- neg_of_add_lt_leftproof · cited by 0
- normalClosure_of_stabilizer_eq_topproof · cited by 0
- MvPolynomial.combinatorial_nullstellensatz_exists_eval_nonzeroproof · cited by 0
- pos_of_lt_add_leftproof · cited by 0