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Theorems · Definition · group theory

AddOpposite.opMulEquiv

{α : Type u_2} → [inst : Mul α] → α ≃* αᵃᵒᵖ

The function AddOpposite.op is a multiplicative equivalence.

Defined in
Mathlib.Algebra.Group.Equiv.Opposite
Cited by
5 results in Mathlib
Foundations
Depth 12 from the axioms · uses no axioms
Assumes
Mul
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Finset.op_prod · cited by 1Finset.op_prodFinset.unop_prod · cited by 1Finset.unop_prodAddOpposite.opMulEquiv_apply · cited by 0AddOpposite.opMulEquiv_ap…AddOpposite.opMulEquiv_symm_apply · cited by 0AddOpposite.opMulEquiv_sy…AddOpposite.opMulEquiv_toEquiv · cited by 0AddOpposite.opMulEquiv_to…Equiv · cited by 8337EquivMulEquiv · cited by 1142MulEquivAddOpposite · cited by 452AddOppositeAddOpposite.opEquiv · cited by 20AddOpposite.opEquivAddOpposite.opMulEquivCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.