Con.coe_sInf

∀ {M : Type u_1} [inst : Mul M] (S : Set (Con M)), ⇑(sInf S) = sInf (DFunLike.coe '' S)

The infimum of a set of congruence relations is the same as the infimum of the set's image under the map to the underlying binary relation.

Defined in: Mathlib.GroupTheory.Congruence.Defs
Cited by: 1 results in Mathlib
Foundations: Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Mul

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Results whose statement or proof uses this declaration.