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Theorems · Theorem · general algebraic systems

FunLike.coe_one_eq_id

∀ {F' : Type u_4} {α : Type u_5} [inst : FunLike F' α α] [inst_1 : One F'] [IsOneApplyEqSelf F' α], ⇑1 = id
Defined in
Mathlib.Data.FunLike.IsApply
Cited by
3 results in Mathlib
Foundations
Depth 6 from the axioms · uses propext, Quot.sound
Assumes
FunLikeOneIsOneApplyEqSelf
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Complex.one_div_sub_pow_hasFPowerSeriesOnBall_zero · cited by 3Complex.one_div_sub_pow_h…Complex.one_div_one_sub_cpow_hasFPowerSeriesOnBall_zero · cited by 2Complex.one_div_one_sub_c…FunLike.coe_one_eq_id_iff · cited by 0FunLike.coe_one_eq_id_iffDFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikeone_apply_eq_self · cited by 34one_apply_eq_selfIsOneApplyEqSelf · cited by 12IsOneApplyEqSelfFunLike.coe_one_eq_idCITED BYCITES

Cites4

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

Cited by3

Results whose statement or proof uses this declaration.