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Theorems · Theorem · group theory

AddSubmonoid.op_unop

∀ {M : Type u_2} [inst : AddZeroClass M] (S : AddSubmonoid Mᵃᵒᵖ), S.unop.op = S
Defined in
Mathlib.Algebra.Group.Submonoid.MulOpposite
Cited by
1 results in Mathlib
Foundations
Depth 21 from the axioms · uses Quot.sound
Assumes
AddZeroClass
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Around this declaration

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

AddSubmonoid.opEquiv · cited by 18AddSubmonoid.opEquivAddSubmonoid.unop_closure · cited by 0AddSubmonoid.unop_closureAddZeroClass · cited by 1237AddZeroClassAddSubmonoid · cited by 1178AddSubmonoidAddOpposite · cited by 452AddOppositeAddSubmonoid.op · cited by 28AddSubmonoid.opAddSubmonoid.unop · cited by 25AddSubmonoid.unopAddSubmonoid.op_unopCITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.