Theorems · Theorem · commutative algebra
RingCon.ringConGen_idem
∀ {R : Type u_3} [inst : Add R] [inst_1 : Mul R] (r : R → R → Prop), ringConGen ⇑(ringConGen r) = ringConGen rThe map sending a binary relation to the smallest congruence relation in which it is contained is idempotent.
- Defined in
- Mathlib.RingTheory.Congruence.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Quot.sound
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- DFunLike.coestatement · cited by 62,936
- RingConstatement · cited by 219
- GaloisInsertion.gcproof · cited by 137
- GaloisConnection.l_u_l_eq_lproof · cited by 19
- ringConGenstatement · cited by 18
- RingCon.giproof · cited by 10
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