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Theorems · Theorem · number theory

Finset.nonneg_addConst

∀ {G : Type u_1} [inst : AddGroup G] [inst_1 : DecidableEq G] {A B : Finset G},
  A.Nonempty → B.Nonempty → 1 ≤ A.addConst B
Defined in
Mathlib.Combinatorics.Additive.DoublingConst
Cited by
2 results in Mathlib
Foundations
Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroupDecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Finset.nonneg_subConst · cited by 1Finset.nonneg_subConstFinset.nonneg_addConst_self · cited by 0Finset.nonneg_addConst_se…Finset · cited by 13712FinsetAddGroup · cited by 4410AddGroupFinset.Nonempty · cited by 1001Finset.NonemptyNNRat · cited by 523NNRatNat.cast_le · cited by 159Nat.cast_leNat.cast_pos · cited by 113Nat.cast_posFinset.card_pos · cited by 53Finset.card_posFinset.addConst · cited by 17Finset.addConstFinset.card_le_card_add_right · cited by 4Finset.card_le_card_add_r…one_le_div₀ · cited by 3one_le_div₀Finset.nonneg_addConstCITED BYCITES

Cites10

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Cited by2

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