Mathlib Map

Theorems · Theorem · group theory

AddSubmonoid.op_bot

∀ {M : Type u_2} [inst : AddZeroClass M], ⊥.op = ⊥
Defined in
Mathlib.Algebra.Group.Submonoid.MulOpposite
Cited by
1 results in Mathlib
Foundations
Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddZeroClass
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Around this declaration

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

AddSubmonoid.op_eq_bot · cited by 0AddSubmonoid.op_eq_botBot.bot · cited by 4720Bot.botAddZeroClass · cited by 1237AddZeroClassAddSubmonoid · cited by 1178AddSubmonoidAddOpposite · cited by 452AddOppositeOrderIso.map_bot · cited by 30OrderIso.map_botAddSubmonoid.op · cited by 28AddSubmonoid.opAddSubmonoid.opEquiv · cited by 18AddSubmonoid.opEquivAddSubmonoid.op_botCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.