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Theorems · Definition

Function.dcomp

{α : Sort u₁} →
  {β : α → Sort u₂} →
    {φ : {x : α} → β x → Sort u₃} → ({x : α} → (y : β x) → φ y) → (g : (x : α) → β x) → (x : α) → φ (g x)

Composition of dependent functions: (f ∘' g) x = f (g x), where type of g x depends on x and type of f (g x) depends on x and g x.

Defined in
Mathlib.Logic.Function.Defs
Cited by
6 results in Mathlib
Foundations
Depth 0 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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Function.FromTypes.uncurry_curry · cited by 1FromTypes.uncurry_curryFunction.dcomp_eq_comp · cited by 0Function.dcomp_eq_compMeasureTheory.lmarginal_image · cited by 0MeasureTheory.lmarginal_i…Function.dcomp_def · cited by 0Function.dcomp_defFunction.dcomp_apply · cited by 0Function.dcomp_applyFunction.FromTypes.curry_apply_cons · cited by 0FromTypes.curry_apply_consFunction.dcompCITED BYCITES

Cites0

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

Nothing in Mathlib beyond the foundations.

Cited by6

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