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Theorems · Theorem · order theory

WithTop.add_right_inj

∀ {α : Type u} [inst : Add α] {x y z : WithTop α} [IsRightCancelAdd α], z ≠ ⊤ → (x + z = y + z ↔ x = y)
Defined in
Mathlib.Algebra.Order.Monoid.Unbundled.WithTop
Cited by
1 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext
Assumes
AddIsRightCancelAdd
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Around this declaration

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

WithTop.add_right_cancel · cited by 1WithTop.add_right_cancelTop.top · cited by 9680Top.topWithTop · cited by 3754WithTopWithTop.some · cited by 1128WithTop.someIsRightCancelAdd · cited by 69IsRightCancelAddIsAddRightRegular.all · cited by 5IsAddRightRegular.allIsAddRightRegular.withTop · cited by 3IsAddRightRegular.withTopWithTop.add_right_injCITED BYCITES

Cites6

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Cited by1

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