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Theorems · Theorem · combinatorics

Finset.piAntidiag_empty

∀ {ι : Type u_1} {μ : Type u_2} [inst : DecidableEq ι] [inst_1 : AddCommMonoid μ] [inst_2 : Finset.HasAntidiagonal μ]
  [inst_3 : DecidableEq μ] (n : μ), ∅.piAntidiag n = if n = 0 then {0} else ∅
Defined in
Mathlib.Algebra.Order.Antidiag.Pi
Cited by
0 results in Mathlib
Foundations
Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqAddCommMonoidFinset.HasAntidiagonalDecidableEq
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Finset · cited by 13712FinsetAddCommMonoid · cited by 12281AddCommMonoidFinset.HasAntidiagonal · cited by 48Finset.HasAntidiagonalFinset.piAntidiag · cited by 19Finset.piAntidiagFinset.piAntidiag_empty_of_ne_zero · cited by 2Finset.piAntidiag_empty_o…Finset.piAntidiag_empty_zero · cited by 1Finset.piAntidiag_empty_z…Finset.piAntidiag_emptyCITED BYCITES

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