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Theorems · Definition · combinatorics

Finset.diag

{α : Type u_1} → Finset α → Finset (α × α)

Given a finite set s, the diagonal, s.diag is the set of pairs of the form (a, a) for a ∈ s.

Defined in
Mathlib.Data.Finset.Prod
Cited by
23 results in Mathlib
Foundations
Depth 27 from the axioms · uses propext, Quot.sound
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Around this declaration

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

Finset.image_diag · cited by 2Finset.image_diagQuadraticMap.toQuadraticMap_toBilin · cited by 1QuadraticMap.toQuadraticM…Finset.sum_diag · cited by 1Finset.sum_diagFinset.diag_union_offDiag · cited by 1Finset.diag_union_offDiagFinset.disjoint_diag_offDiag · cited by 1Finset.disjoint_diag_offD…Sym2.card_image_diag · cited by 0Sym2.card_image_diagFinset.diag_card · cited by 0Finset.diag_cardFinset.diag_empty · cited by 0Finset.diag_emptyFinset.diag_eq_empty · cited by 0Finset.diag_eq_emptyFinset.diag_eq_filter · cited by 0Finset.diag_eq_filterFinset.diag_insert · cited by 0Finset.diag_insertFinset.diag_inter · cited by 0Finset.diag_interFinset.diag_mono · cited by 0Finset.diag_monoFinset.diag_nonempty · cited by 0Finset.diag_nonemptyFinset.isDiag_mk_of_mem_diag · cited by 0Finset.isDiag_mk_of_mem_d…Finset · cited by 13712FinsetFinset.map · cited by 747Finset.mapFunction.diag · cited by 34Function.diagFunction.diag_injective · cited by 3Function.diag_injectiveFinset.diagCITED BYCITES

Cites4

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Cited by23

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