Mathlib Map

Theorems · Theorem · group theory

AddUnits.isAddUnit

∀ {M : Type u_1} [inst : AddMonoid M] (u : AddUnits M), IsAddUnit ↑u
Defined in
Mathlib.Algebra.Group.Units.Defs
Cited by
14 results in Mathlib
Foundations
Depth 4 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.

IsAddUnit.map · cited by 16IsAddUnit.mapIsAddUnit.neg · cited by 3IsAddUnit.negAddSubmonoid.addUnitsTypeEquivIsAddUnitAddSubmonoid · cited by 3AddSubmonoid.addUnitsType…isAddUnit_nsmul_iff · cited by 2isAddUnit_nsmul_iffAddUnits.isAddUnit_addUnits_add · cited by 1AddUnits.isAddUnit_addUni…AddUnits.isAddUnit_add_addUnits · cited by 1AddUnits.isAddUnit_add_ad…AddUnits.isEmbedding_val_mk' · cited by 1AddUnits.isEmbedding_val_…AddCommute.isAddUnit_add_iff · cited by 1AddCommute.isAddUnit_add_…IsAddUnit.of_nsmul_eq_zero · cited by 1IsAddUnit.of_nsmul_eq_zeroisAddConj_zero_right · cited by 1isAddConj_zero_rightSubsingleton.addUnits_of_isAddUnit · cited by 0Subsingleton.addUnits_of_…mem_addCommutatorSet_of_isAddConj_sq · cited by 0mem_addCommutatorSet_of_i…Prod.isAddUnit_iff · cited by 0Prod.isAddUnit_iffIsAddUnit.mul_left · cited by 0IsAddUnit.mul_leftIsAddUnit.mul_right · cited by 0IsAddUnit.mul_rightAddMonoid · cited by 2864AddMonoidAddUnits · cited by 325AddUnitsAddUnits.val · cited by 248AddUnits.valIsAddUnit · cited by 215IsAddUnitAddUnits.isAddUnitCITED BYCITES

Cites4

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

Cited by15

Results whose statement or proof uses this declaration.