Theorems · Theorem · commutative algebra
RingCon.ringConGen_sSup
∀ {R : Type u_3} [inst : Add R] [inst_1 : Mul R] (rs : Set (R → R → Prop)),
ringConGen (sSup rs) = ⨆ r ∈ rs, ringConGen r- Defined in
- Mathlib.RingTheory.Congruence.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- iSupstatement · cited by 2,415
- SupSet.sSupstatement · cited by 954
- RingConstatement · cited by 219
- GaloisInsertion.gcproof · cited by 137
- GaloisConnection.l_sSupproof · cited by 19
- ringConGenstatement · cited by 18
- RingCon.giproof · cited by 10
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