Theorems · Theorem · group theory
Subsemigroup.closure_empty
∀ {M : Type u_1} [inst : Mul M], Subsemigroup.closure ∅ = ⊥- Defined in
- Mathlib.Algebra.Group.Subsemigroup.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Mul
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Bot.botstatement · cited by 4,720
- Subsemigroupstatement · cited by 323
- GaloisInsertion.gcproof · cited by 137
- GaloisConnection.l_botproof · cited by 63
- Subsemigroup.closurestatement · cited by 43
- Subsemigroup.giproof · cited by 5
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