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Theorems · Theorem · category theory

ComplexShape.Embedding.mem_next

∀ {ι : Type u_1} {ι' : Type u_2} {c : ComplexShape ι} {c' : ComplexShape ι'} (e : c.Embedding c') [e.IsTruncGE] {j : ι}
  {k' : ι'}, c'.Rel (e.f j) k' → ∃ k, e.f k = k'
Defined in
Mathlib.Algebra.Homology.Embedding.Basic
Cited by
2 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
ComplexShape.Embedding.IsTruncGE
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Around this declaration

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

ComplexShape.Embedding.next_f · cited by 3Embedding.next_fComplexShape.Embedding.BoundaryLE.false_of_isTruncGE · cited by 0BoundaryLE.false_of_isTru…ComplexShape · cited by 1684ComplexShapeComplexShape.Rel · cited by 518ComplexShape.RelComplexShape.Embedding · cited by 337ComplexShape.EmbeddingComplexShape.Embedding.f · cited by 251Embedding.fComplexShape.Embedding.IsTruncGE · cited by 56Embedding.IsTruncGEComplexShape.Embedding.IsTruncGE.mem_next · cited by 1IsTruncGE.mem_nextEmbedding.mem_nextCITED BYCITES

Cites6

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Cited by2

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