Theorems · Theorem · algebraic topology
SSet.Subcomplex.PairingCore.surjective
∀ {X : SSet} {A : X.Subcomplex} (h : A.PairingCore) (x : A.N), ∃ s, x = h.type₁ s ∨ x = h.type₂ s- Cited by
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- Foundations
- Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplexstatement and proof · cited by 461
- CategoryTheory.SimplicialObject.δproof · cited by 188
- SSet.N.toSproof · cited by 171
- SSet.Subcomplex.Nstatement and proof · cited by 155
- SSet.Subcomplex.N.toNproof · cited by 126
- SSet.Subcomplex.PairingCorestatement and proof · cited by 50
- SSet.Subcomplex.PairingCore.ιstatement and proof · cited by 42
- SSet.Subcomplex.PairingCore.simplexproof · cited by 13
- SSet.Subcomplex.PairingCore.type₁statement and proof · cited by 13
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