Mathlib Map

Theorems · Theorem · category theory

ComplexShape.Embedding.AreComplementary.disjoint

∀ {ι : Type u_1} {ι₁ : Type u_2} {ι₂ : Type u_3} {c : ComplexShape ι} {c₁ : ComplexShape ι₁} {c₂ : ComplexShape ι₂}
  {e₁ : c₁.Embedding c} {e₂ : c₂.Embedding c}, e₁.AreComplementary e₂ → ∀ (i₁ : ι₁) (i₂ : ι₂), e₁.f i₁ ≠ e₂.f i₂
Defined in
Mathlib.Algebra.Homology.Embedding.AreComplementary
Cited by
6 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
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Around this declaration

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

ComplexShape.Embedding.AreComplementary.symm · cited by 4AreComplementary.symmComplexShape.Embedding.AreComplementary.isStrictlySupportedOutside₁_iff · cited by 2AreComplementary.isStrict…ComplexShape.Embedding.AreComplementary.isSupportedOutside₁_iff · cited by 2AreComplementary.isSuppor…ComplexShape.Embedding.AreComplementary.Boundary.fst · cited by 0Boundary.fstComplexShape.Embedding.AreComplementary.fromSum_bijective · cited by 0AreComplementary.fromSum_…ComplexShape.Embedding.AreComplementary.Boundary.snd · cited by 0Boundary.sndComplexShape · cited by 1684ComplexShapeComplexShape.Embedding · cited by 337ComplexShape.EmbeddingComplexShape.Embedding.f · cited by 251Embedding.fComplexShape.Embedding.AreComplementary · cited by 32Embedding.AreComplementaryAreComplementary.disjointCITED BYCITES

Cites4

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Cited by6

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