Theorems · Theorem · number theory

Int.map_round

∀ {F : Type u_1} {α : Type u_2} {β : Type u_3} [inst : Field α] [inst_1 : LinearOrder α] [IsStrictOrderedRing α]
  [inst_3 : Field β] [inst_4 : LinearOrder β] [IsStrictOrderedRing β] [inst_6 : FloorRing α] [inst_7 : FloorRing β]
  [inst_8 : FunLike F α β] [RingHomClass F α β] (f : F), StrictMono ⇑f → ∀ (a : α), round (f a) = round a

Defined in

Mathlib.Algebra.Order.Round

Cited by

0 results in Mathlib

Foundations

Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldLinearOrderIsStrictOrderedRingFieldLinearOrderIsStrictOrderedRingFloorRingFloorRingFunLikeRingHomClass