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Theorems · Theorem · order theory

WithBot.add_right_inj

∀ {α : Type u} [inst : Add α] {x y z : WithBot 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 13 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.

WithBot.add_right_cancel · cited by 0WithBot.add_right_cancelBot.bot · cited by 4720Bot.botWithBot · cited by 1498WithBotWithBot.some · cited by 541WithBot.someWithBot.recBotCoe · cited by 101WithBot.recBotCoeIsRightCancelAdd · cited by 69IsRightCancelAddWithBot.add_right_injCITED BYCITES

Cites5

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Cited by1

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