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Theorems · Theorem · ring theory

Subsemiring.unop_injective

∀ {R : Type u_2} [inst : NonAssocSemiring R], Function.Injective Subsemiring.unop
Defined in
Mathlib.Algebra.Ring.Subsemiring.MulOpposite
Cited by
2 results in Mathlib
Foundations
Depth 28 from the axioms · uses propext, Quot.sound
Assumes
NonAssocSemiring
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Around this declaration

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

Subsemiring.unop_eq_bot · cited by 0Subsemiring.unop_eq_botSubsemiring.unop_eq_top · cited by 0Subsemiring.unop_eq_topMulOpposite · cited by 1135MulOppositeNonAssocSemiring · cited by 805NonAssocSemiringOrderIso.symm · cited by 475OrderIso.symmSubsemiring · cited by 456SubsemiringOrderIso.injective · cited by 28OrderIso.injectiveSubsemiring.unop · cited by 26Subsemiring.unopSubsemiring.opEquiv · cited by 18Subsemiring.opEquivSubsemiring.unop_injectiveCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.