Theorems · Definition · group theory
AddMonoidHom.mulUnop
{α : Type u_3} → {β : Type u_4} → [inst : AddZeroClass α] → [inst_1 : AddZeroClass β] → (αᵐᵒᵖ →+ βᵐᵒᵖ) ≃ (α →+ β)The 'unopposite' of an additive monoid hom αᵐᵒᵖ →+ βᵐᵒᵖ. Inverse to
AddMonoidHom.mul_op.
- Defined in
- Mathlib.Algebra.Group.Equiv.Opposite
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses Quot.sound
- Assumes
- AddZeroClassAddZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement · cited by 8,337
- Equiv.symmproof · cited by 3,681
- AddMonoidHomstatement · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- MulOppositestatement · cited by 1,135
- AddMonoidHom.mulOpproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- RingHom.opproof · cited by 4
- NonUnitalRingHom.opproof · cited by 2
- NonUnitalRingHom.op_symm_apply_applystatement · cited by 0