Theorems · Theorem · category theory
ComplexShape.notMem_range_embeddingUpIntLE_iff
∀ (p n : ℤ), (∀ (i : ℕ), (ComplexShape.embeddingUpIntLE p).f i ≠ n) ↔ p < n
- Defined in
- Mathlib.Algebra.Homology.Embedding.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ComplexShape.upstatement · cited by 1,123
- ComplexShape.downstatement · cited by 605
- ComplexShape.Embedding.fstatement and proof · cited by 251
- ComplexShape.embeddingUpIntLEstatement and proof · cited by 21
Cited by2
Results whose statement or proof uses this declaration.
- CochainComplex.isLE_iffproof · cited by 3
- CochainComplex.isStrictlyLE_iffproof · cited by 2