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Theorems · Definition · combinatorics

Hindman.FP.head

∀ {M : Type u_1} [inst : Semigroup M] (a : Stream' M), a.head ∈ Hindman.FP a

Constructor for FP. This is the preferred spelling over FP.head'.

Defined in
Mathlib.Combinatorics.Hindman
Cited by
3 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
Semigroup
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Around this declaration

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

Hindman.exists_idempotent_ultrafilter_le_FP · cited by 1Hindman.exists_idempotent…Hindman.FP.finsetProd · cited by 1FP.finsetProdHindman.FP.singleton · cited by 1FP.singletonSet · cited by 53352SetStream' · cited by 205Stream'Semigroup · cited by 202SemigroupStream'.head · cited by 43Stream'.headHindman.FP · cited by 11Hindman.FPFP.headCITED BYCITES

Cites5

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

Cited by3

Results whose statement or proof uses this declaration.