Theorems · Theorem · group theory
Subsemigroup.unop_closure
∀ {M : Type u_2} [inst : Mul M] (s : Set Mᵐᵒᵖ),
(Subsemigroup.closure s).unop = Subsemigroup.closure (MulOpposite.op ⁻¹' s)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Mul
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.preimagestatement and proof · cited by 4,946
- MulOppositestatement and proof · cited by 1,135
- MulOpposite.opstatement and proof · cited by 520
- Subsemigroupstatement and proof · cited by 323
- Subsemigroup.closurestatement and proof · cited by 43
- Set.preimage_preimageproof · cited by 36
- Subsemigroup.opproof · cited by 28
- Subsemigroup.unopstatement · cited by 25
- Subsemigroup.op_closureproof · cited by 1
- Subsemigroup.op_injproof · cited by 1
- Subsemigroup.op_unopproof · cited by 1
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