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Theorems · Theorem · order theory

WithBot.addLECancellable_of_ne_bot

∀ {α : Type u} [inst : Add α] {x : WithBot α} [inst_1 : LE α] [AddLeftReflectLE α], x ≠ ⊥ → AddLECancellable x
Defined in
Mathlib.Algebra.Order.Monoid.Unbundled.WithTop
Cited by
3 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext, Quot.sound
Assumes
AddLEAddLeftReflectLE
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

WithBot.addLECancellable_of_lt_bot · cited by 0WithBot.addLECancellable_…WithBot.addLECancellable_coe · cited by 0WithBot.addLECancellable_…WithBot.addLECancellable_iff_ne_bot · cited by 0WithBot.addLECancellable_…Bot.bot · cited by 4720Bot.botWithBot · cited by 1498WithBotAddLeftReflectLE · cited by 119AddLeftReflectLEAddLECancellable · cited by 87AddLECancellableWithBot.le_of_add_le_add_left · cited by 3WithBot.le_of_add_le_add_…WithBot.addLECancellable_of_n…CITED BYCITES

Cites5

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Cited by3

Results whose statement or proof uses this declaration.