Theorems · Theorem · group theory
AddSubmonoid.coe_unop
∀ {M : Type u_2} [inst : AddZeroClass M] (x : AddSubmonoid Mᵃᵒᵖ), ↑x.unop = AddOpposite.op ⁻¹' ↑x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses Quot.sound
- Assumes
- AddZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SetLike.coestatement and proof · cited by 8,199
- Set.preimagestatement · cited by 4,946
- AddZeroClassstatement and proof · cited by 1,237
- AddSubmonoidstatement and proof · cited by 1,178
- AddOppositestatement and proof · cited by 452
- AddOpposite.opstatement · cited by 192
- AddSubmonoid.unopstatement and proof · cited by 25
Cited by1
Results whose statement or proof uses this declaration.
- AddSubmonoid.op_closureproof · cited by 2