Theorems · Theorem · group theory
AddSubmonoid.centerToAddOpposite_apply_coe
∀ {M : Type u_2} [inst : AddZeroClass M] (r : ↥(AddSubsemigroup.center M)),
↑(AddSubmonoid.centerToAddOpposite r) = AddOpposite.op ↑r- Defined in
- Mathlib.GroupTheory.Submonoid.Center
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddZeroClassstatement and proof · cited by 1,237
- AddSubmonoidstatement · cited by 1,178
- AddEquivstatement · cited by 1,087
- AddOppositestatement · cited by 452
- AddSubsemigroupstatement · cited by 262
- AddOpposite.opstatement · cited by 192
- AddSubsemigroup.centerstatement and proof · cited by 19
- AddSubmonoid.centerstatement · cited by 15
- AddSubmonoid.centerToAddOppositestatement and proof · cited by 2
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