Theorems · Theorem · group theory
AddSubgroup.normalClosure_empty
∀ {G : Type u_1} [inst : AddGroup G], AddSubgroup.normalClosure ∅ = ⊥- Defined in
- Mathlib.Algebra.Group.Subgroup.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SetLike.coeproof · cited by 8,199
- Bot.botstatement and proof · cited by 4,720
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddSubgroup.normalClosurestatement and proof · cited by 21
- AddSubgroup.closure_emptyproof · cited by 3
- AddSubgroup.normalClosure_eq_selfproof · cited by 2
- AddSubgroup.normalClosure_closure_eq_normalClosureproof · cited by 1
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