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Theorems · Theorem · order theory

Set.image2_congr

∀ {α : Type u_1} {β : Type u_3} {γ : Type u_5} {f f' : α → β → γ} {s : Set α} {t : Set β},
  (∀ a ∈ s, ∀ b ∈ t, f a b = f' a b) → Set.image2 f s t = Set.image2 f' s t
Defined in
Mathlib.Data.Set.NAry
Cited by
10 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

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Cites2

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

  • Setstatement and proof · cited by 53,352
  • Set.image2statement · cited by 311

Cited by10

Results whose statement or proof uses this declaration.