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Theorems · Theorem · logic and foundations

Relation.map_apply

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {δ : Type u_4} {r : α → β → Prop} {f : α → γ} {g : β → δ} {c : γ}
  {d : δ}, Relation.Map r f g c d ↔ ∃ a b, r a b ∧ f a = c ∧ g b = d
Defined in
Mathlib.Logic.Relation
Cited by
2 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
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Around this declaration

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SimpleGraph.Reachable.coe_subgraphMap · cited by 2Reachable.coe_subgraphMapRingCon.mapGen_apply_apply_of_surjective · cited by 0RingCon.mapGen_apply_appl…Relation.Map · cited by 40Relation.MapRelation.map_applyCITED BYCITES

Cites1

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Cited by2

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