Theorems · Theorem · group theory
FunLike.isRightCancelMul
∀ {F : Type u_1} {α : Type u_2} {β : Type u_3} [inst : FunLike F α β] [inst_1 : Mul F] [inst_2 : Mul β]
[IsRightCancelMul β] [IsMulApply F α β], IsRightCancelMul FA FunLike type that satisfies (f * g) x = f x * g x has right cancellative multiplication if
β has right cancellative multiplication.
- 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
- IsRightCancelMulstatement and proof · cited by 43
- IsMulApplystatement and proof · cited by 18
- FunLike.coe_mulproof · cited by 4
- Function.Injective.isRightCancelMulproof · cited by 3
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