Mathlib Map

Theorems · Definition

RingHom.ulift

{R : Type u_1} →
  {S : Type u_2} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → ULift.{u₁, u_1} R →+* ULift.{u₂, u_2} S

ULift is functorial for ring homomorphisms.

Defined in
Mathlib.Algebra.Ring.ULift
Cited by
5 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Quot.sound
Assumes
CommRingCommRing
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Algebra.WeaklyEtale.ulift_iff · cited by 1WeaklyEtale.ulift_iffRingHom.comp_ulift_eq · cited by 1RingHom.comp_ulift_eqRingHom.Flat.ulift_iff · cited by 1Flat.ulift_iffRingHom.down_ulift_apply · cited by 0RingHom.down_ulift_applyRingHom.ulift_apply · cited by 0RingHom.ulift_applyCommRing · cited by 17173CommRingRingHom · cited by 10189RingHomRingHom.comp · cited by 899RingHom.compRingEquiv.symm · cited by 567RingEquiv.symmRingEquiv.toRingHom · cited by 150RingEquiv.toRingHomULift.ringEquiv · cited by 6ULift.ringEquivRingHom.uliftCITED BYCITES

Cites6

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

Cited by5

Results whose statement or proof uses this declaration.