Theorems · Theorem · group theory
FunLike.isRightCancelAdd
∀ {F : Type u_1} {α : Type u_2} {β : Type u_3} [inst : FunLike F α β] [inst_1 : Add F] [inst_2 : Add β]
[IsRightCancelAdd β] [IsAddApply F α β], IsRightCancelAdd FA FunLike type that satisfies (f + g) x = f x + g x has right cancellative
addition if β has right cancellative addition.
- Defined in
- Mathlib.Data.FunLike.Group
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- DFunLike.coe_injectiveproof · cited by 161
- IsAddApplystatement and proof · cited by 75
- IsRightCancelAddstatement and proof · cited by 69
- FunLike.coe_addproof · cited by 30
- Function.Injective.isRightCancelAddproof · cited by 3
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