Theorems · Theorem · general algebraic systems
FunLike.coe_one_eq_id_iff
∀ {F' : Type u_4} {α : Type u_5} [inst : FunLike F' α α] [inst_1 : One F'] [IsOneApplyEqSelf F' α] (f : F'),
⇑f = id ↔ f = 1- Defined in
- Mathlib.Data.FunLike.IsApply
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext, Quot.sound
- Assumes
- FunLikeOneIsOneApplyEqSelf
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- one_apply_eq_selfproof · cited by 34
- IsOneApplyEqSelfstatement and proof · cited by 12
- FunLike.coe_one_eq_idproof · cited by 3
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