Theorems · Definition · ring theory
MulOpposite.unop
{α : Type u_1} → αᵐᵒᵖ → αThe element of α represented by x : αᵐᵒᵖ.
- Defined in
- Mathlib.Algebra.Opposites
- Cited by
- 268 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 4 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MulOppositestatement · cited by 1,135
- PreOpposite.unop'proof · cited by 0
Cited by304
Results whose statement or proof uses this declaration.
- Subgroup.opproof · cited by 58
- Submonoid.opproof · cited by 38
- Subsemigroup.opproof · cited by 28
- MulOpposite.opEquivproof · cited by 24
- CliffordAlgebra.reverse_ιproof · cited by 12
- MulOpposite.unop_injectivestatement · cited by 11
- MulOpposite.unop_surjectivestatement · cited by 11
- Submodule.equivOppositeproof · cited by 8
- Traversable.toList_specproof · cited by 6
- MulOpposite.opHomeomorph_symm_applystatement · cited by 5
- MulOpposite.rec'proof · cited by 5
- RingHom.fromOppositeproof · cited by 5
Showing the 200 most cited of 304.