Mathlib Map

Theorems · Theorem · group theory

Finset.coe_zero

∀ {α : Type u_2} [inst : Zero α], ↑0 = 0
Defined in
Mathlib.Algebra.Group.Pointwise.Finset.Basic
Cited by
6 results in Mathlib
Foundations
Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Zero
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Around this declaration

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

Finset.coe_nsmul · cited by 9Finset.coe_nsmulFinset.zero_smul_finset · cited by 2Finset.zero_smul_finsetCovByVAdd.of_subset · cited by 2CovByVAdd.of_subsetFinset.add_eq_zero_iff · cited by 1Finset.add_eq_zero_iffFinset.smul_univ₀ · cited by 0Finset.smul_univ₀Finset.smulZeroClass · cited by 0Finset.smulZeroClassCovByVAdd.rfl · cited by 0CovByVAdd.rflSet · cited by 53352SetFinset · cited by 13712FinsetSetLike.coe · cited by 8199SetLike.coeFinset.coe_singleton · cited by 145Finset.coe_singletonSet.zero · cited by 87Set.zeroFinset.zero · cited by 74Finset.zeroFinset.coe_zeroCITED BYCITES

Cites6

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

Cited by7

Results whose statement or proof uses this declaration.