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Theorems · Theorem · group theory

AddUnits.embedProduct_apply

∀ (α : Type u_6) [inst : AddMonoid α] (x : AddUnits α), (AddUnits.embedProduct α) x = (↑x, AddOpposite.op ↑(-x))
Defined in
Mathlib.Algebra.Group.Prod
Cited by
1 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Quot.sound
Assumes
AddMonoid
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Around this declaration

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

AddUnits.continuous_iff · cited by 3AddUnits.continuous_iffDFunLike.coe · cited by 62936DFunLike.coeAddMonoidHom · cited by 3230AddMonoidHomAddMonoid · cited by 2864AddMonoidAddOpposite · cited by 452AddOppositeAddUnits · cited by 325AddUnitsAddUnits.val · cited by 248AddUnits.valAddOpposite.op · cited by 192AddOpposite.opAddUnits.embedProduct · cited by 9AddUnits.embedProductAddUnits.embedProduct_applyCITED BYCITES

Cites8

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

Cited by1

Results whose statement or proof uses this declaration.