Theorems · Theorem · category theory

CategoryTheory.Abelian.SpectralObject.SpectralSequence.pageX.congr_simp

∀ {C : Type u_1} {ι : Type u_2} {κ : Type u_3} [inst : CategoryTheory.Category.{v_1, u_1} C]
  [inst_1 : CategoryTheory.Abelian C] [inst_2 : Preorder ι] (X X_1 : CategoryTheory.Abelian.SpectralObject C ι),
  X = X_1 →
    ∀ {c : ℤ → ComplexShape κ} {r₀ : ℤ}
      (data data_1 : CategoryTheory.Abelian.SpectralObject.SpectralSequenceDataCore ι c r₀),
      data = data_1 →
        ∀ (r r_1 : ℤ) (e_r : r = r_1) (pq pq_1 : κ),
          pq = pq_1 →
            ∀ (hr : r₀ ≤ r),
              CategoryTheory.Abelian.SpectralObject.SpectralSequence.pageX X data r pq hr =
                CategoryTheory.Abelian.SpectralObject.SpectralSequence.pageX X_1 data_1 r_1 pq_1 ⋯

Defined in

Mathlib.Algebra.Homology.SpectralObject.SpectralSequence

Cited by

0 results in Mathlib

Foundations

Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.AbelianPreorder