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Theorems · Theorem · ring theory

NonUnitalSubsemiring.coe_iInf

∀ {R : Type u} [inst : NonUnitalNonAssocSemiring R] {ι : Sort u_1} {S : ι → NonUnitalSubsemiring R},
  ↑(⨅ i, S i) = ⋂ i, ↑(S i)
Defined in
Mathlib.RingTheory.NonUnitalSubsemiring.Basic
Cited by
1 results in Mathlib
Foundations
Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NonUnitalNonAssocSemiring
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Around this declaration

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NonUnitalSubsemiring.map_iInf · cited by 0NonUnitalSubsemiring.map_…Set · cited by 53352SetSetLike.coe · cited by 8199SetLike.coeiInf · cited by 1690iInfSet.iInter · cited by 1084Set.iInterNonUnitalNonAssocSemiring · cited by 1081NonUnitalNonAssocSemiringNonUnitalSubsemiring · cited by 201NonUnitalSubsemiringSet.biInter_range · cited by 17Set.biInter_rangeNonUnitalSubsemiring.coe_iInfCITED BYCITES

Cites7

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Cited by1

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