Theorems · Theorem · commutative algebra
RingCon.ringConGen_iSup
∀ {R : Type u_3} [inst : Add R] [inst_1 : Mul R] {ι : Sort u_5} (r : ι → R → R → Prop),
ringConGen (iSup r) = ⨆ i, ringConGen (r i)- 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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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- iSupstatement · cited by 2,415
- RingConstatement · cited by 219
- GaloisInsertion.gcproof · cited by 137
- GaloisConnection.l_iSupproof · cited by 78
- ringConGenstatement · cited by 18
- RingCon.giproof · cited by 10
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