Theorems · Theorem · ring theory
Subsemiring.coe_unop
∀ {R : Type u_2} [inst : NonAssocSemiring R] (S : Subsemiring Rᵐᵒᵖ), ↑S.unop = MulOpposite.op ⁻¹' ↑S- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
- Assumes
- NonAssocSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SetLike.coestatement and proof · cited by 8,199
- Set.preimagestatement · cited by 4,946
- MulOppositestatement and proof · cited by 1,135
- NonAssocSemiringstatement and proof · cited by 805
- MulOpposite.opstatement · cited by 520
- Subsemiringstatement and proof · cited by 456
- Subsemiring.unopstatement and proof · cited by 26
Cited by1
Results whose statement or proof uses this declaration.
- Subsemiring.op_closureproof · cited by 2