Mathlib Map

Theorems · Theorem · field theory

RingHom.IsPurelyInseparable.id

∀ (F : Type u_1) [inst : CommRing F], (RingHom.id F).IsPurelyInseparable

The identity of a ring is purely inseparable.

Defined in
Mathlib.RingTheory.RingHom.PurelyInseparable
Cited by
1 results in Mathlib
Foundations
Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRing
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Around this declaration

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

RingHom.IsPurelyInseparable.containsIdentities · cited by 0IsPurelyInseparable.conta…RingHom.id · cited by 18349RingHom.idCommRing · cited by 17173CommRingRingHom.IsPurelyInseparable · cited by 5RingHom.IsPurelyInseparab…IsPurelyInseparable.idCITED BYCITES

Cites3

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

Cited by1

Results whose statement or proof uses this declaration.