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Theorems · Theorem · ring theory

Subsemiring.op_injective

∀ {R : Type u_2} [inst : NonAssocSemiring R], Function.Injective Subsemiring.op
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.op_eq_bot · cited by 0Subsemiring.op_eq_botSubsemiring.op_eq_top · cited by 0Subsemiring.op_eq_topMulOpposite · cited by 1135MulOppositeNonAssocSemiring · cited by 805NonAssocSemiringSubsemiring · cited by 456SubsemiringSubsemiring.op · cited by 43Subsemiring.opOrderIso.injective · cited by 28OrderIso.injectiveSubsemiring.opEquiv · cited by 18Subsemiring.opEquivSubsemiring.op_injectiveCITED BYCITES

Cites6

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.