Mathlib Map

Theorems · Theorem · order theory

add_lt_of_neg_right

∀ {α : Type u_1} [inst : AddZeroClass α] [inst_1 : LT α] [AddLeftStrictMono α] (a : α) {b : α}, b < 0 → a + b < a
Defined in
Mathlib.Algebra.Order.Monoid.Unbundled.Basic
Cited by
2 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
AddZeroClassLTAddLeftStrictMono
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Filter.eventually_add_neg_lt_of_le_liminf · cited by 1Filter.eventually_add_neg…zsmul_left_strictAnti · cited by 1zsmul_left_strictAntiadd_zero · cited by 2707add_zeroAddZeroClass · cited by 1237AddZeroClassAddLeftStrictMono · cited by 203AddLeftStrictMonoadd_lt_add_right · cited by 50add_lt_add_rightadd_lt_of_neg_rightCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.