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Theorems · Theorem · ring theory

NonUnitalSubsemiringClass.subtype_apply

∀ {R : Type u} {S : Type v} [inst : NonUnitalNonAssocSemiring R] [inst_1 : SetLike S R]
  [inst_2 : NonUnitalSubsemiringClass S R] {s : S} (x : ↥s), (NonUnitalSubsemiringClass.subtype s) x = ↑x
Defined in
Mathlib.RingTheory.NonUnitalSubsemiring.Defs
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Foundations
Depth 21 from the axioms · uses propext, Quot.sound
Assumes
NonUnitalNonAssocSemiringSetLikeNonUnitalSubsemiringClass
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DFunLike.coe · cited by 62936DFunLike.coeSetLike · cited by 1084SetLikeNonUnitalNonAssocSemiring · cited by 1081NonUnitalNonAssocSemiringNonUnitalRingHom · cited by 157NonUnitalRingHomNonUnitalSubsemiringClass · cited by 22NonUnitalSubsemiringClassNonUnitalSubsemiringClass.subtype · cited by 5NonUnitalSubsemiringClass…NonUnitalSubsemiringClass.sub…CITED BYCITES

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