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
Dashed lines are statement dependencies; solid lines are citations in proofs.
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.
- Set.image_image2_distribproof · cited by 12
- Set.image2_commproof · cited by 4
- ContinuousMap.isInducing_postcompproof · cited by 2
- Set.image_seqproof · cited by 1
- Finset.image₂_congrproof · cited by 1
- Set.seq_seqproof · cited by 1
- Set.star_mulproof · cited by 0
- Set.image2_congr'proof · cited by 0
- Set.star_addproof · cited by 0
- Language.reverse_mulproof · cited by 0