Mathlib Map

Theorems · Theorem · group theory

AddUnits.val_injective

∀ {α : Type u} [inst : AddMonoid α], Function.Injective AddUnits.val
Defined in
Mathlib.Algebra.Group.Units.Defs
Cited by
5 results in Mathlib
Foundations
Depth 10 from the axioms · uses no axioms
Assumes
AddMonoid
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Around this declaration

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

AddUnits.ext · cited by 25AddUnits.extAddUnits.val_inj · cited by 2AddUnits.val_injAddUnits.coeHom_injective · cited by 1AddUnits.coeHom_injectiveAddUnits.isEmbedding_val_mk' · cited by 1AddUnits.isEmbedding_val_…AddUnits.orderEmbeddingVal · cited by 1AddUnits.orderEmbeddingValaddOrderOf_addUnits · cited by 0addOrderOf_addUnitsAddMonoid · cited by 2864AddMonoidadd_zero · cited by 2707add_zerozero_add · cited by 2366zero_addadd_assoc · cited by 746add_assocAddUnits · cited by 325AddUnitsAddUnits.val · cited by 248AddUnits.valAddUnits.val_injectiveCITED BYCITES

Cites6

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

Cited by6

Results whose statement or proof uses this declaration.