Theorems · Theorem · group theory
AddSubgroup.addUnit_of_mem_ofAddUnits_spec_val_eq_of_mem
∀ {M : Type u_1} [inst : AddMonoid M] (S : AddSubgroup (AddUnits M)) {x : M} (h : x ∈ S.ofAddUnits),
↑(S.addUnit_of_mem_ofAddUnits h) = x- Defined in
- Mathlib.Algebra.Group.Submonoid.Units
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice
- Assumes
- AddMonoid
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidstatement and proof · cited by 2,864
- AddSubmonoidstatement · cited by 1,178
- AddUnitsstatement and proof · cited by 325
- AddUnits.valstatement · cited by 248
- AddSubgroup.ofAddUnitsstatement and proof · cited by 30
- AddSubgroup.addUnit_of_mem_ofAddUnitsstatement · cited by 4
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