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Theorems · Theorem · order theory

Left.pos_add_of_left

∀ {α : Type u_1} [inst : AddZeroClass α] [inst_1 : Preorder α] [IsBotZeroClass α] [AddLeftMono α] {a : α},
  0 < a → ∀ (b : α), 0 < a + b
Defined in
Mathlib.Algebra.Order.Monoid.Unbundled.Basic
Cited by
1 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
Assumes
AddZeroClassPreorderIsBotZeroClassAddLeftMono
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Around this declaration

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add_pos_of_left · cited by 0add_pos_of_leftPreorder · cited by 7952PreorderAddZeroClass · cited by 1237AddZeroClassAddLeftMono · cited by 687AddLeftMonozero_le · cited by 382zero_leIsBotZeroClass · cited by 71IsBotZeroClassLeft.add_pos_of_pos_of_nonneg · cited by 6Left.add_pos_of_pos_of_no…Left.pos_add_of_leftCITED BYCITES

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Cited by1

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