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Theorems · Theorem · group theory

Finset.coe_one

∀ {α : Type u_2} [inst : One α], ↑1 = 1
Defined in
Mathlib.Algebra.Group.Pointwise.Finset.Basic
Cited by
4 results in Mathlib
Foundations
Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
One
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Around this declaration

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

Finset.coe_pow · cited by 4Finset.coe_powCovBySMul.of_subset · cited by 2CovBySMul.of_subsetFinset.mul_eq_one_iff · cited by 1Finset.mul_eq_one_iffCovBySMul.rfl · cited by 0CovBySMul.rflSet · cited by 53352SetFinset · cited by 13712FinsetSetLike.coe · cited by 8199SetLike.coeFinset.coe_singleton · cited by 145Finset.coe_singletonSet.one · cited by 54Set.oneFinset.one · cited by 43Finset.oneFinset.coe_oneCITED BYCITES

Cites6

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

Cited by4

Results whose statement or proof uses this declaration.