Theorems · Theorem · order theory
add_lt_add_iff_right_of_ne_top
∀ {α : Type u_2} [inst : LinearOrderedAddCommMonoidWithTop α] {a b c : α}, a ≠ ⊤ → (a + b < a + c ↔ b < c)- Defined in
- Mathlib.Algebra.Order.AddGroupWithTop
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, 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.lt_iff_ltproof · cited by 86
- LinearOrderedAddCommMonoidWithTopstatement and proof · cited by 68
- add_right_strictMono_of_ne_topproof · cited by 2
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