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Theorems · Theorem · order theory

add_lt_of_neg_left

∀ {α : Type u_1} [inst : AddZeroClass α] [inst_1 : LT α] [AddRightStrictMono α] (a : α) {b : α}, b < 0 → b + a < 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
AddZeroClassLTAddRightStrictMono
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Around this declaration

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

mul_lt_mul_of_neg_right · cited by 6mul_lt_mul_of_neg_rightmul_lt_mul_of_neg_left · cited by 5mul_lt_mul_of_neg_leftzero_add · cited by 2366zero_addAddZeroClass · cited by 1237AddZeroClassAddRightStrictMono · cited by 160AddRightStrictMonoadd_lt_add_left · cited by 47add_lt_add_leftadd_lt_of_neg_leftCITED BYCITES

Cites4

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Cited by2

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