Theorems · Theorem · order theory
LinearOrderedAddCommGroupWithTop.sub_le_sub_iff_left_of_ne_top
∀ {α : Type u_2} [inst : LinearOrderedAddCommGroupWithTop α] {a b c : α}, a ≠ ⊤ → (b - a ≤ c - a ↔ b ≤ c)- Defined in
- Mathlib.Algebra.Order.AddGroupWithTop
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- StrictMono.le_iff_leproof · cited by 104
- LinearOrderedAddCommGroupWithTopstatement and proof · cited by 37
- LinearOrderedAddCommGroupWithTop.sub_left_strictMono_of_ne_topproof · cited by 2
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