Finite Field
30-sec diagnosis
Back to NPA

Declaration

ring_first_iso_phi_surj_image

Mathlib.Algebra.Ring.FirstIsomorphism

Packages

2

Module

63

Theorems

750

Declarations

1016

Untrusted sidecar

Source text and display overlays are presentation metadata. The signed certificate and checker result are the trusted evidence.

Statement

forall (R : Sort succ u), forall (S : Sort succ v), forall (f : forall (x : R), S), forall (y : S), forall (hy : @RingImagePred.{succ u,succ v} R S f y), forall (P : Prop), forall (mk : forall (q : @RingKerQuot.{u,v} R S f), forall (h : @Eq.{succ v} S (@RingKerQuotToS.{u,v} R S f q) y), P), P

Proof term

theorem ring_first_iso_phi_surj_image.{u,v} :
  forall (R : Sort succ u), forall (S : Sort succ v), forall (f : forall (x : R), S), forall (y : S), forall (hy : @RingImagePred.{succ u,succ v} R S f y), forall (P : Prop), forall (mk : forall (q : @RingKerQuot.{u,v} R S f), forall (h : @Eq.{succ v} S (@RingKerQuotToS.{u,v} R S f q) y), P), P :=
  fun R => fun S => fun f => @first_iso_phi_surj_image.{u,v} R S f

Constants

Mathlib.Algebra.Ring.FirstIsomorphism.Basic.RingImagePred

Interface hash: sha256:efd5770d70b83a8d9d15ac039cb28a52ddc9b1fccd28df0448d4c90bb9fec646

Mathlib.Algebra.Ring.FirstIsomorphism.Basic.RingKerQuot

Interface hash: sha256:aca2a22cfa356002de43459a02a4d82f3d11d7a363cd03723dcc16c4c933dbac

Mathlib.Algebra.Ring.FirstIsomorphism.Basic.RingKerQuotToS

Interface hash: sha256:7c31b5ce56066fb117a86bc8f8ccaf2979ea2afd628668a518635b7ce8fa61ad

Std.Logic.Eq.Eq

Interface hash: sha256:ca4f8520fd678a809c3ebf0bc7fa38d3063ca4d231e79d567de888685449a015