RingCon.sup_def

∀ {R : Type u_3} [inst : Add R] [inst_1 : Mul R] (c d : RingCon R), c ⊔ d = ringConGen (⇑c ⊔ ⇑d)

The supremum of two congruence relations equals the smallest congruence relation containing the supremum of the underlying binary operations.

Defined in: Mathlib.RingTheory.Congruence.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Add Mul

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