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Theorems · Theorem · order theory

Order.add_one_inj

∀ {α : Type u_1} {x y : α} [inst : LinearOrder α] [inst_1 : Add α] [inst_2 : One α] [SuccAddOrder α] [NoMaxOrder α],
  x + 1 = y + 1 ↔ x = y
Defined in
Mathlib.Algebra.Order.SuccPred
Cited by
0 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LinearOrderAddOneSuccAddOrderNoMaxOrder
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LinearOrder · cited by 8572LinearOrderNoMaxOrder · cited by 340NoMaxOrderSuccAddOrder · cited by 108SuccAddOrderOrder.add_one_injCITED BYCITES

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