Theorems · Theorem · combinatorics

Finset.notMem_sigmaLift_of_ne_left

∀ {ι : Type u_1} {α : ι → Type u_2} {β : ι → Type u_3} {γ : ι → Type u_4} [inst : DecidableEq ι]
  (f : ⦃i : ι⦄ → α i → β i → Finset (γ i)) (a : Sigma α) (b : Sigma β) (x : Sigma γ),
  a.fst ≠ x.fst → x ∉ Finset.sigmaLift f a b

Defined in: Mathlib.Data.Finset.Sigma
Cited by: 0 results in Mathlib
Foundations: Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: DecidableEq

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Finsetstatement and proof · cited by 13,712
Exists.fstproof · cited by 22
Finset.sigmaLiftstatement · cited by 8
Finset.mem_sigmaLiftproof · cited by 3

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