Theorems · Theorem · ring theory
NonUnitalSubring.coe_iInf
∀ {R : Type u} [inst : NonUnitalNonAssocRing R] {ι : Sort u_1} {S : ι → NonUnitalSubring R}, ↑(⨅ i, S i) = ⋂ i, ↑(S i)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalNonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SetLike.coestatement and proof · cited by 8,199
- iInfstatement · cited by 1,690
- Set.iInterstatement and proof · cited by 1,084
- NonUnitalNonAssocRingstatement and proof · cited by 354
- NonUnitalSubringstatement and proof · cited by 185
- Set.biInter_rangeproof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- NonUnitalSubring.map_iInfproof · cited by 0