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Theorems · Theorem · ring theory

Subalgebra.op_toSubsemiring

∀ {R : Type u_2} {A : Type u_3} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
  (S : Subalgebra R A), S.op.toSubsemiring = S.op
Defined in
Mathlib.Algebra.Algebra.Subalgebra.MulOpposite
Cited by
1 results in Mathlib
Foundations
Depth 30 from the axioms · uses propext, Quot.sound
Assumes
CommSemiringSemiringAlgebra
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Subalgebra.op_adjoin · cited by 0Subalgebra.op_adjoinSemiring · cited by 13802SemiringAlgebra · cited by 11388AlgebraCommSemiring · cited by 10911CommSemiringSubalgebra · cited by 1353SubalgebraMulOpposite · cited by 1135MulOppositeSubsemiring · cited by 456SubsemiringSubalgebra.toSubsemiring · cited by 115Subalgebra.toSubsemiringSubsemiring.op · cited by 43Subsemiring.opSubalgebra.op · cited by 30Subalgebra.opSubalgebra.op_toSubsemiringCITED BYCITES

Cites9

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Cited by1

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