Theorems · Definition · order theory
Sigma.uncurry
{α : Type u_1} →
{β : α → Type u_4} → {γ : (a : α) → β a → Type u_7} → ((x : α) → (y : β x) → γ x y) → (x : Sigma β) → γ x.fst x.sndInterpret a dependent function with two arguments as a function on Σ x : α, β x.
This also exists as an Equiv as (Equiv.piCurry γ).symm.
- Defined in
- Mathlib.Data.Sigma.Basic
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
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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 by23
Results whose statement or proof uses this declaration.
- Equiv.piCurryproof · cited by 6
- Pi.monotoneUncurryproof · cited by 3
- Sigma.uncurry_currystatement and proof · cited by 2
- MeasureTheory.Measure.infinitePi_map_piCurry_symmproof · cited by 2
- Convexity.convexCombPair_iConvexComb_iConvexCombproof · cited by 2
- MeasurableEquiv.coe_piCurry_symmstatement · cited by 1
- MeasurableEquiv.piCurry_symm_applystatement · cited by 1
- Set.uncurry_preimage_sigma_pistatement and proof · cited by 1
- Convexity.iConvexComb_assoc''statement and proof · cited by 1
- measurable_sigmaUncurrystatement and proof · cited by 1
- Sigma.curry_uncurrystatement · cited by 0
- Pi.monotoneUncurry_coestatement · cited by 0