Theorems · Theorem · logic and foundations
Quot.map_surjective
∀ {α : Sort u_1} {β : Sort u_2} {ra : α → α → Prop} {rb : β → β → Prop} {f : α → β}
(h : ∀ ⦃a b : α⦄, ra a b → rb (f a) (f b)), Function.Surjective f → Function.Surjective (Quot.map f h)- Defined in
- Mathlib.Data.Quot
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses Quot.sound
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- Quot.mk_surjectiveproof · cited by 34
- Quot.surjective_liftproof · cited by 5
- Quot.mapstatement · cited by 5
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