Theorems · Theorem · algebraic topology
SSet.Subcomplex.Pairing.ofIso.congr_simp
∀ {X : SSet} {A : X.Subcomplex} (P P_1 : A.Pairing),
P = P_1 →
∀ {Y : SSet} {B : Y.Subcomplex} (e e_1 : Y ≅ X) (e_e : e = e_1) (hA : A.preimage e.hom = B),
P.ofIso e hA = P_1.ofIso e_1 ⋯- Cited by
- 0 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Oppositestatement · cited by 8,081
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.Isostatement and proof · cited by 3,963
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplexstatement and proof · cited by 461
- SSet.Subcomplex.Pairingstatement and proof · cited by 117
- SSet.Subcomplex.preimagestatement and proof · cited by 37
- SSet.Subcomplex.Pairing.ofIsostatement and proof · cited by 7
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