Theorems · Theorem · group theory
Subsemigroup.coe_unop
∀ {M : Type u_2} [inst : Mul M] (x : Subsemigroup Mᵐᵒᵖ), ↑x.unop = MulOpposite.op ⁻¹' ↑x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- Assumes
- Mul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- MulOppositestatement and proof · cited by 1,135
- MulOpposite.opstatement · cited by 520
- Subsemigroupstatement and proof · cited by 323
- Subsemigroup.unopstatement and proof · cited by 25
Cited by1
Results whose statement or proof uses this declaration.
- Subsemigroup.op_closureproof · cited by 1