Theorems · Definition · commutative algebra
MaximalSpectrum.mk.noConfusion
{R : Type u_1} →
{inst : CommSemiring R} →
{P : Sort u} →
{asIdeal : Ideal R} →
{isMaximal : asIdeal.IsMaximal} →
{asIdeal' : Ideal R} →
{isMaximal' : asIdeal'.IsMaximal} →
{ asIdeal := asIdeal, isMaximal := isMaximal } = { asIdeal := asIdeal', isMaximal := isMaximal' } →
(asIdeal ≍ asIdeal' → P) → P- Defined in
- Mathlib.RingTheory.Spectrum.Maximal.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Idealstatement and proof · cited by 4,748
- Ideal.IsMaximalstatement and proof · cited by 452
- MaximalSpectrumstatement · cited by 73
- MaximalSpectrum.noConfusionproof · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- MaximalSpectrum.mk.injproof · cited by 2