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Theorems · Theorem · general algebraic systems

FunLike.coe_mul

∀ {F : Type u_3} {α : Type u_5} {β : Type u_6} [inst : FunLike F α β] [inst_1 : Mul F] [inst_2 : Mul β]
  [IsMulApply F α β] (f g : F), ⇑(f * g) = ⇑f * ⇑g
Defined in
Mathlib.Data.FunLike.IsApply
Cited by
4 results in Mathlib
Foundations
Depth 6 from the axioms · uses propext, Quot.sound
Assumes
FunLikeMulMulIsMulApply
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

FunLike.coeMulHom · cited by 4FunLike.coeMulHomFunLike.isCancelMul · cited by 0FunLike.isCancelMulFunLike.isLeftCancelMul · cited by 0FunLike.isLeftCancelMulContinuousLinearMap.coe_mul' · cited by 0ContinuousLinearMap.coe_m…FunLike.isRightCancelMul · cited by 0FunLike.isRightCancelMulDFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikeIsMulApply · cited by 18IsMulApplymul_apply · cited by 2mul_applyFunLike.coe_mulCITED BYCITES

Cites4

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

Cited by5

Results whose statement or proof uses this declaration.