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Theorems · Theorem · commutative algebra

Ring.multichoose_one

∀ {R : Type u_2} [inst : NonAssocSemiring R] [inst_1 : Pow R ℕ] [NatPowAssoc R] [inst_3 : BinomialRing R] (k : ℕ),
  Ring.multichoose 1 k = 1
Defined in
Mathlib.RingTheory.Binomial
Cited by
1 results in Mathlib
Foundations
Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NonAssocSemiringPowNatPowAssocBinomialRing
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Around this declaration

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

Ring.multichoose_two · cited by 0Ring.multichoose_twozero_add · cited by 2366zero_addNonAssocSemiring · cited by 805NonAssocSemiringNatPowAssoc · cited by 53NatPowAssocBinomialRing · cited by 46BinomialRingRing.multichoose · cited by 25Ring.multichooseRing.multichoose_succ_succ · cited by 2Ring.multichoose_succ_succRing.multichoose_zero_right · cited by 2Ring.multichoose_zero_rig…Ring.multichoose_zero_succ · cited by 1Ring.multichoose_zero_succRing.multichoose_oneCITED BYCITES

Cites8

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Cited by1

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