algebra.order.group.densely_orderedMathlib.Algebra.Order.Group.DenselyOrdered

This file has been ported!

Changes since the initial port

The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -3,9 +3,9 @@ Copyright (c) 2016 Jeremy Avigad. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro, Johannes Hölzl
 -/
-import Mathbin.Algebra.Order.Monoid.Canonical.Defs
-import Mathbin.Algebra.Order.Group.Defs
-import Mathbin.Algebra.Order.Monoid.OrderDual
+import Algebra.Order.Monoid.Canonical.Defs
+import Algebra.Order.Group.Defs
+import Algebra.Order.Monoid.OrderDual
 
 #align_import algebra.order.group.densely_ordered from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"
 
Diff
@@ -2,16 +2,13 @@
 Copyright (c) 2016 Jeremy Avigad. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro, Johannes Hölzl
-
-! This file was ported from Lean 3 source module algebra.order.group.densely_ordered
-! leanprover-community/mathlib commit 448144f7ae193a8990cb7473c9e9a01990f64ac7
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Order.Monoid.Canonical.Defs
 import Mathbin.Algebra.Order.Group.Defs
 import Mathbin.Algebra.Order.Monoid.OrderDual
 
+#align_import algebra.order.group.densely_ordered from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"
+
 /-!
 # Lemmas about densely linearly ordered groups.
 
Diff
@@ -30,30 +30,38 @@ variable [CovariantClass α α (· * ·) (· ≤ ·)]
 
 variable [DenselyOrdered α] {a b c : α}
 
+#print le_of_forall_lt_one_mul_le /-
 @[to_additive]
 theorem le_of_forall_lt_one_mul_le (h : ∀ ε < 1, a * ε ≤ b) : a ≤ b :=
   @le_of_forall_one_lt_le_mul αᵒᵈ _ _ _ _ _ _ _ _ h
 #align le_of_forall_lt_one_mul_le le_of_forall_lt_one_mul_le
 #align le_of_forall_neg_add_le le_of_forall_neg_add_le
+-/
 
+#print le_of_forall_one_lt_div_le /-
 @[to_additive]
 theorem le_of_forall_one_lt_div_le (h : ∀ ε : α, 1 < ε → a / ε ≤ b) : a ≤ b :=
   le_of_forall_lt_one_mul_le fun ε ε1 => by
     simpa only [div_eq_mul_inv, inv_inv] using h ε⁻¹ (Left.one_lt_inv_iff.2 ε1)
 #align le_of_forall_one_lt_div_le le_of_forall_one_lt_div_le
 #align le_of_forall_pos_sub_le le_of_forall_pos_sub_le
+-/
 
+#print le_iff_forall_one_lt_le_mul /-
 @[to_additive]
 theorem le_iff_forall_one_lt_le_mul : a ≤ b ↔ ∀ ε, 1 < ε → a ≤ b * ε :=
   ⟨fun h ε ε_pos => le_mul_of_le_of_one_le h ε_pos.le, le_of_forall_one_lt_le_mul⟩
 #align le_iff_forall_one_lt_le_mul le_iff_forall_one_lt_le_mul
 #align le_iff_forall_pos_le_add le_iff_forall_pos_le_add
+-/
 
+#print le_iff_forall_lt_one_mul_le /-
 @[to_additive]
 theorem le_iff_forall_lt_one_mul_le : a ≤ b ↔ ∀ ε < 1, a * ε ≤ b :=
   @le_iff_forall_one_lt_le_mul αᵒᵈ _ _ _ _ _ _
 #align le_iff_forall_lt_one_mul_le le_iff_forall_lt_one_mul_le
 #align le_iff_forall_neg_add_le le_iff_forall_neg_add_le
+-/
 
 end DenselyOrdered
 
Diff
@@ -30,24 +30,12 @@ variable [CovariantClass α α (· * ·) (· ≤ ·)]
 
 variable [DenselyOrdered α] {a b c : α}
 
-/- warning: le_of_forall_lt_one_mul_le -> le_of_forall_lt_one_mul_le is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : Group.{u1} α] [_inst_2 : LinearOrder.{u1} α] [_inst_3 : CovariantClass.{u1, u1} α α (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toHasMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1)))))) (LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))))] [_inst_4 : DenselyOrdered.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2)))))] {a : α} {b : α}, (forall (ε : α), (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) ε (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (MulOneClass.toHasOne.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1)))))))) -> (LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toHasMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))) a ε) b)) -> (LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) a b)
-but is expected to have type
-  forall {α : Type.{u1}} [_inst_1 : Group.{u1} α] [_inst_2 : LinearOrder.{u1} α] [_inst_3 : CovariantClass.{u1, u1} α α (fun (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.127 : α) (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.129 : α) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))) x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.127 x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.129) (fun (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.142 : α) (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.144 : α) => LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.142 x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.144)] [_inst_4 : DenselyOrdered.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2))))))] {a : α} {b : α}, (forall (ε : α), (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) ε (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (InvOneClass.toOne.{u1} α (DivInvOneMonoid.toInvOneClass.{u1} α (DivisionMonoid.toDivInvOneMonoid.{u1} α (Group.toDivisionMonoid.{u1} α _inst_1))))))) -> (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))) a ε) b)) -> (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) a b)
-Case conversion may be inaccurate. Consider using '#align le_of_forall_lt_one_mul_le le_of_forall_lt_one_mul_leₓ'. -/
 @[to_additive]
 theorem le_of_forall_lt_one_mul_le (h : ∀ ε < 1, a * ε ≤ b) : a ≤ b :=
   @le_of_forall_one_lt_le_mul αᵒᵈ _ _ _ _ _ _ _ _ h
 #align le_of_forall_lt_one_mul_le le_of_forall_lt_one_mul_le
 #align le_of_forall_neg_add_le le_of_forall_neg_add_le
 
-/- warning: le_of_forall_one_lt_div_le -> le_of_forall_one_lt_div_le is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : Group.{u1} α] [_inst_2 : LinearOrder.{u1} α] [_inst_3 : CovariantClass.{u1, u1} α α (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toHasMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1)))))) (LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))))] [_inst_4 : DenselyOrdered.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2)))))] {a : α} {b : α}, (forall (ε : α), (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (MulOneClass.toHasOne.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))))) ε) -> (LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) (HDiv.hDiv.{u1, u1, u1} α α α (instHDiv.{u1} α (DivInvMonoid.toHasDiv.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))) a ε) b)) -> (LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) a b)
-but is expected to have type
-  forall {α : Type.{u1}} [_inst_1 : Group.{u1} α] [_inst_2 : LinearOrder.{u1} α] [_inst_3 : CovariantClass.{u1, u1} α α (fun (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.212 : α) (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.214 : α) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))) x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.212 x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.214) (fun (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.227 : α) (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.229 : α) => LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.227 x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.229)] [_inst_4 : DenselyOrdered.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2))))))] {a : α} {b : α}, (forall (ε : α), (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (InvOneClass.toOne.{u1} α (DivInvOneMonoid.toInvOneClass.{u1} α (DivisionMonoid.toDivInvOneMonoid.{u1} α (Group.toDivisionMonoid.{u1} α _inst_1)))))) ε) -> (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) (HDiv.hDiv.{u1, u1, u1} α α α (instHDiv.{u1} α (DivInvMonoid.toDiv.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))) a ε) b)) -> (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) a b)
-Case conversion may be inaccurate. Consider using '#align le_of_forall_one_lt_div_le le_of_forall_one_lt_div_leₓ'. -/
 @[to_additive]
 theorem le_of_forall_one_lt_div_le (h : ∀ ε : α, 1 < ε → a / ε ≤ b) : a ≤ b :=
   le_of_forall_lt_one_mul_le fun ε ε1 => by
@@ -55,24 +43,12 @@ theorem le_of_forall_one_lt_div_le (h : ∀ ε : α, 1 < ε → a / ε ≤ b) :
 #align le_of_forall_one_lt_div_le le_of_forall_one_lt_div_le
 #align le_of_forall_pos_sub_le le_of_forall_pos_sub_le
 
-/- warning: le_iff_forall_one_lt_le_mul -> le_iff_forall_one_lt_le_mul is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : Group.{u1} α] [_inst_2 : LinearOrder.{u1} α] [_inst_3 : CovariantClass.{u1, u1} α α (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toHasMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1)))))) (LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))))] [_inst_4 : DenselyOrdered.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2)))))] {a : α} {b : α}, Iff (LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) a b) (forall (ε : α), (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (MulOneClass.toHasOne.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))))) ε) -> (LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) a (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toHasMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))) b ε)))
-but is expected to have type
-  forall {α : Type.{u1}} [_inst_1 : Group.{u1} α] [_inst_2 : LinearOrder.{u1} α] [_inst_3 : CovariantClass.{u1, u1} α α (fun (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.306 : α) (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.308 : α) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))) x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.306 x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.308) (fun (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.321 : α) (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.323 : α) => LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.321 x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.323)] [_inst_4 : DenselyOrdered.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2))))))] {a : α} {b : α}, Iff (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) a b) (forall (ε : α), (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (InvOneClass.toOne.{u1} α (DivInvOneMonoid.toInvOneClass.{u1} α (DivisionMonoid.toDivInvOneMonoid.{u1} α (Group.toDivisionMonoid.{u1} α _inst_1)))))) ε) -> (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) a (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))) b ε)))
-Case conversion may be inaccurate. Consider using '#align le_iff_forall_one_lt_le_mul le_iff_forall_one_lt_le_mulₓ'. -/
 @[to_additive]
 theorem le_iff_forall_one_lt_le_mul : a ≤ b ↔ ∀ ε, 1 < ε → a ≤ b * ε :=
   ⟨fun h ε ε_pos => le_mul_of_le_of_one_le h ε_pos.le, le_of_forall_one_lt_le_mul⟩
 #align le_iff_forall_one_lt_le_mul le_iff_forall_one_lt_le_mul
 #align le_iff_forall_pos_le_add le_iff_forall_pos_le_add
 
-/- warning: le_iff_forall_lt_one_mul_le -> le_iff_forall_lt_one_mul_le is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : Group.{u1} α] [_inst_2 : LinearOrder.{u1} α] [_inst_3 : CovariantClass.{u1, u1} α α (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toHasMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1)))))) (LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))))] [_inst_4 : DenselyOrdered.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2)))))] {a : α} {b : α}, Iff (LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) a b) (forall (ε : α), (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) ε (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (MulOneClass.toHasOne.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1)))))))) -> (LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toHasMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))) a ε) b))
-but is expected to have type
-  forall {α : Type.{u1}} [_inst_1 : Group.{u1} α] [_inst_2 : LinearOrder.{u1} α] [_inst_3 : CovariantClass.{u1, u1} α α (fun (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.392 : α) (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.394 : α) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))) x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.392 x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.394) (fun (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.407 : α) (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.409 : α) => LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.407 x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.409)] [_inst_4 : DenselyOrdered.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2))))))] {a : α} {b : α}, Iff (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) a b) (forall (ε : α), (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) ε (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (InvOneClass.toOne.{u1} α (DivInvOneMonoid.toInvOneClass.{u1} α (DivisionMonoid.toDivInvOneMonoid.{u1} α (Group.toDivisionMonoid.{u1} α _inst_1))))))) -> (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))) a ε) b))
-Case conversion may be inaccurate. Consider using '#align le_iff_forall_lt_one_mul_le le_iff_forall_lt_one_mul_leₓ'. -/
 @[to_additive]
 theorem le_iff_forall_lt_one_mul_le : a ≤ b ↔ ∀ ε < 1, a * ε ≤ b :=
   @le_iff_forall_one_lt_le_mul αᵒᵈ _ _ _ _ _ _
Diff
@@ -32,7 +32,7 @@ variable [DenselyOrdered α] {a b c : α}
 
 /- warning: le_of_forall_lt_one_mul_le -> le_of_forall_lt_one_mul_le is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : Group.{u1} α] [_inst_2 : LinearOrder.{u1} α] [_inst_3 : CovariantClass.{u1, u1} α α (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toHasMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1)))))) (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))))] [_inst_4 : DenselyOrdered.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2)))))] {a : α} {b : α}, (forall (ε : α), (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) ε (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (MulOneClass.toHasOne.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1)))))))) -> (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toHasMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))) a ε) b)) -> (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) a b)
+  forall {α : Type.{u1}} [_inst_1 : Group.{u1} α] [_inst_2 : LinearOrder.{u1} α] [_inst_3 : CovariantClass.{u1, u1} α α (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toHasMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1)))))) (LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))))] [_inst_4 : DenselyOrdered.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2)))))] {a : α} {b : α}, (forall (ε : α), (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) ε (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (MulOneClass.toHasOne.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1)))))))) -> (LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toHasMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))) a ε) b)) -> (LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) a b)
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : Group.{u1} α] [_inst_2 : LinearOrder.{u1} α] [_inst_3 : CovariantClass.{u1, u1} α α (fun (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.127 : α) (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.129 : α) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))) x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.127 x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.129) (fun (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.142 : α) (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.144 : α) => LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.142 x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.144)] [_inst_4 : DenselyOrdered.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2))))))] {a : α} {b : α}, (forall (ε : α), (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) ε (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (InvOneClass.toOne.{u1} α (DivInvOneMonoid.toInvOneClass.{u1} α (DivisionMonoid.toDivInvOneMonoid.{u1} α (Group.toDivisionMonoid.{u1} α _inst_1))))))) -> (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))) a ε) b)) -> (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) a b)
 Case conversion may be inaccurate. Consider using '#align le_of_forall_lt_one_mul_le le_of_forall_lt_one_mul_leₓ'. -/
@@ -44,7 +44,7 @@ theorem le_of_forall_lt_one_mul_le (h : ∀ ε < 1, a * ε ≤ b) : a ≤ b :=
 
 /- warning: le_of_forall_one_lt_div_le -> le_of_forall_one_lt_div_le is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : Group.{u1} α] [_inst_2 : LinearOrder.{u1} α] [_inst_3 : CovariantClass.{u1, u1} α α (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toHasMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1)))))) (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))))] [_inst_4 : DenselyOrdered.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2)))))] {a : α} {b : α}, (forall (ε : α), (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (MulOneClass.toHasOne.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))))) ε) -> (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) (HDiv.hDiv.{u1, u1, u1} α α α (instHDiv.{u1} α (DivInvMonoid.toHasDiv.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))) a ε) b)) -> (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) a b)
+  forall {α : Type.{u1}} [_inst_1 : Group.{u1} α] [_inst_2 : LinearOrder.{u1} α] [_inst_3 : CovariantClass.{u1, u1} α α (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toHasMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1)))))) (LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))))] [_inst_4 : DenselyOrdered.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2)))))] {a : α} {b : α}, (forall (ε : α), (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (MulOneClass.toHasOne.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))))) ε) -> (LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) (HDiv.hDiv.{u1, u1, u1} α α α (instHDiv.{u1} α (DivInvMonoid.toHasDiv.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))) a ε) b)) -> (LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) a b)
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : Group.{u1} α] [_inst_2 : LinearOrder.{u1} α] [_inst_3 : CovariantClass.{u1, u1} α α (fun (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.212 : α) (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.214 : α) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))) x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.212 x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.214) (fun (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.227 : α) (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.229 : α) => LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.227 x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.229)] [_inst_4 : DenselyOrdered.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2))))))] {a : α} {b : α}, (forall (ε : α), (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (InvOneClass.toOne.{u1} α (DivInvOneMonoid.toInvOneClass.{u1} α (DivisionMonoid.toDivInvOneMonoid.{u1} α (Group.toDivisionMonoid.{u1} α _inst_1)))))) ε) -> (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) (HDiv.hDiv.{u1, u1, u1} α α α (instHDiv.{u1} α (DivInvMonoid.toDiv.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))) a ε) b)) -> (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) a b)
 Case conversion may be inaccurate. Consider using '#align le_of_forall_one_lt_div_le le_of_forall_one_lt_div_leₓ'. -/
@@ -57,7 +57,7 @@ theorem le_of_forall_one_lt_div_le (h : ∀ ε : α, 1 < ε → a / ε ≤ b) :
 
 /- warning: le_iff_forall_one_lt_le_mul -> le_iff_forall_one_lt_le_mul is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : Group.{u1} α] [_inst_2 : LinearOrder.{u1} α] [_inst_3 : CovariantClass.{u1, u1} α α (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toHasMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1)))))) (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))))] [_inst_4 : DenselyOrdered.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2)))))] {a : α} {b : α}, Iff (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) a b) (forall (ε : α), (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (MulOneClass.toHasOne.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))))) ε) -> (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) a (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toHasMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))) b ε)))
+  forall {α : Type.{u1}} [_inst_1 : Group.{u1} α] [_inst_2 : LinearOrder.{u1} α] [_inst_3 : CovariantClass.{u1, u1} α α (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toHasMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1)))))) (LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))))] [_inst_4 : DenselyOrdered.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2)))))] {a : α} {b : α}, Iff (LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) a b) (forall (ε : α), (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (MulOneClass.toHasOne.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))))) ε) -> (LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) a (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toHasMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))) b ε)))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : Group.{u1} α] [_inst_2 : LinearOrder.{u1} α] [_inst_3 : CovariantClass.{u1, u1} α α (fun (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.306 : α) (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.308 : α) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))) x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.306 x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.308) (fun (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.321 : α) (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.323 : α) => LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.321 x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.323)] [_inst_4 : DenselyOrdered.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2))))))] {a : α} {b : α}, Iff (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) a b) (forall (ε : α), (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (InvOneClass.toOne.{u1} α (DivInvOneMonoid.toInvOneClass.{u1} α (DivisionMonoid.toDivInvOneMonoid.{u1} α (Group.toDivisionMonoid.{u1} α _inst_1)))))) ε) -> (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) a (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))) b ε)))
 Case conversion may be inaccurate. Consider using '#align le_iff_forall_one_lt_le_mul le_iff_forall_one_lt_le_mulₓ'. -/
@@ -69,7 +69,7 @@ theorem le_iff_forall_one_lt_le_mul : a ≤ b ↔ ∀ ε, 1 < ε → a ≤ b * 
 
 /- warning: le_iff_forall_lt_one_mul_le -> le_iff_forall_lt_one_mul_le is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : Group.{u1} α] [_inst_2 : LinearOrder.{u1} α] [_inst_3 : CovariantClass.{u1, u1} α α (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toHasMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1)))))) (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))))] [_inst_4 : DenselyOrdered.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2)))))] {a : α} {b : α}, Iff (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) a b) (forall (ε : α), (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) ε (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (MulOneClass.toHasOne.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1)))))))) -> (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toHasMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))) a ε) b))
+  forall {α : Type.{u1}} [_inst_1 : Group.{u1} α] [_inst_2 : LinearOrder.{u1} α] [_inst_3 : CovariantClass.{u1, u1} α α (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toHasMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1)))))) (LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))))] [_inst_4 : DenselyOrdered.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2)))))] {a : α} {b : α}, Iff (LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) a b) (forall (ε : α), (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) ε (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (MulOneClass.toHasOne.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1)))))))) -> (LE.le.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (LinearOrder.toLattice.{u1} α _inst_2))))) (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toHasMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))) a ε) b))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : Group.{u1} α] [_inst_2 : LinearOrder.{u1} α] [_inst_3 : CovariantClass.{u1, u1} α α (fun (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.392 : α) (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.394 : α) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))) x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.392 x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.394) (fun (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.407 : α) (x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.409 : α) => LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.407 x._@.Mathlib.Algebra.Order.Group.DenselyOrdered._hyg.409)] [_inst_4 : DenselyOrdered.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2))))))] {a : α} {b : α}, Iff (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) a b) (forall (ε : α), (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) ε (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (InvOneClass.toOne.{u1} α (DivInvOneMonoid.toInvOneClass.{u1} α (DivisionMonoid.toDivInvOneMonoid.{u1} α (Group.toDivisionMonoid.{u1} α _inst_1))))))) -> (LE.le.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (SemilatticeInf.toPartialOrder.{u1} α (Lattice.toSemilatticeInf.{u1} α (DistribLattice.toLattice.{u1} α (instDistribLattice.{u1} α _inst_2)))))) (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (MulOneClass.toMul.{u1} α (Monoid.toMulOneClass.{u1} α (DivInvMonoid.toMonoid.{u1} α (Group.toDivInvMonoid.{u1} α _inst_1))))) a ε) b))
 Case conversion may be inaccurate. Consider using '#align le_iff_forall_lt_one_mul_le le_iff_forall_lt_one_mul_leₓ'. -/

Changes in mathlib4

mathlib3
mathlib4
chore(*): remove empty lines between variable statements (#11418)

Empty lines were removed by executing the following Python script twice

import os
import re


# Loop through each file in the repository
for dir_path, dirs, files in os.walk('.'):
  for filename in files:
    if filename.endswith('.lean'):
      file_path = os.path.join(dir_path, filename)

      # Open the file and read its contents
      with open(file_path, 'r') as file:
        content = file.read()

      # Use a regular expression to replace sequences of "variable" lines separated by empty lines
      # with sequences without empty lines
      modified_content = re.sub(r'(variable.*\n)\n(variable(?! .* in))', r'\1\2', content)

      # Write the modified content back to the file
      with open(file_path, 'w') as file:
        file.write(modified_content)
Diff
@@ -19,9 +19,7 @@ variable {α : Type*}
 section DenselyOrdered
 
 variable [Group α] [LinearOrder α]
-
 variable [CovariantClass α α (· * ·) (· ≤ ·)]
-
 variable [DenselyOrdered α] {a b c : α}
 
 @[to_additive]
refactor: replace some [@foo](https://github.com/foo) _ _ _ _ _ ... by named arguments (#8702)

Using Lean4's named arguments, we manage to remove a few hard-to-read explicit function calls [@foo](https://github.com/foo) _ _ _ _ _ ... which used to be necessary in Lean3.

Occasionally, this results in slightly longer code. The benefit of named arguments is readability, as well as to reduce the brittleness of the code when the argument order is changed.

Co-authored-by: Michael Rothgang <rothgami@math.hu-berlin.de>

Diff
@@ -26,7 +26,7 @@ variable [DenselyOrdered α] {a b c : α}
 
 @[to_additive]
 theorem le_of_forall_lt_one_mul_le (h : ∀ ε < 1, a * ε ≤ b) : a ≤ b :=
-  @le_of_forall_one_lt_le_mul αᵒᵈ _ _ _ _ _ _ _ _ h
+  le_of_forall_one_lt_le_mul (α := αᵒᵈ) h
 #align le_of_forall_lt_one_mul_le le_of_forall_lt_one_mul_le
 #align le_of_forall_neg_add_le le_of_forall_neg_add_le
 
@@ -45,7 +45,7 @@ theorem le_iff_forall_one_lt_le_mul : a ≤ b ↔ ∀ ε, 1 < ε → a ≤ b * 
 
 @[to_additive]
 theorem le_iff_forall_lt_one_mul_le : a ≤ b ↔ ∀ ε < 1, a * ε ≤ b :=
-  @le_iff_forall_one_lt_le_mul αᵒᵈ _ _ _ _ _ _
+  le_iff_forall_one_lt_le_mul (α := αᵒᵈ)
 #align le_iff_forall_lt_one_mul_le le_iff_forall_lt_one_mul_le
 #align le_iff_forall_neg_add_le le_iff_forall_neg_add_le
 
chore: banish Type _ and Sort _ (#6499)

We remove all possible occurences of Type _ and Sort _ in favor of Type* and Sort*.

This has nice performance benefits.

Diff
@@ -14,7 +14,7 @@ import Mathlib.Algebra.Order.Monoid.OrderDual
 -/
 
 
-variable {α : Type _}
+variable {α : Type*}
 
 section DenselyOrdered
 
chore: script to replace headers with #align_import statements (#5979)

Open in Gitpod

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

Diff
@@ -2,16 +2,13 @@
 Copyright (c) 2016 Jeremy Avigad. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro, Johannes Hölzl
-
-! This file was ported from Lean 3 source module algebra.order.group.densely_ordered
-! leanprover-community/mathlib commit 4e87c8477c6c38b753f050bc9664b94ee859896c
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Order.Monoid.Canonical.Defs
 import Mathlib.Algebra.Order.Group.Defs
 import Mathlib.Algebra.Order.Monoid.OrderDual
 
+#align_import algebra.order.group.densely_ordered from "leanprover-community/mathlib"@"4e87c8477c6c38b753f050bc9664b94ee859896c"
+
 /-!
 # Lemmas about densely linearly ordered groups.
 -/
chore: add #align statements for to_additive decls (#1816)

Co-authored-by: Floris van Doorn <fpvdoorn@gmail.com>

Diff
@@ -31,21 +31,25 @@ variable [DenselyOrdered α] {a b c : α}
 theorem le_of_forall_lt_one_mul_le (h : ∀ ε < 1, a * ε ≤ b) : a ≤ b :=
   @le_of_forall_one_lt_le_mul αᵒᵈ _ _ _ _ _ _ _ _ h
 #align le_of_forall_lt_one_mul_le le_of_forall_lt_one_mul_le
+#align le_of_forall_neg_add_le le_of_forall_neg_add_le
 
 @[to_additive]
 theorem le_of_forall_one_lt_div_le (h : ∀ ε : α, 1 < ε → a / ε ≤ b) : a ≤ b :=
   le_of_forall_lt_one_mul_le fun ε ε1 => by
     simpa only [div_eq_mul_inv, inv_inv] using h ε⁻¹ (Left.one_lt_inv_iff.2 ε1)
 #align le_of_forall_one_lt_div_le le_of_forall_one_lt_div_le
+#align le_of_forall_pos_sub_le le_of_forall_pos_sub_le
 
 @[to_additive]
 theorem le_iff_forall_one_lt_le_mul : a ≤ b ↔ ∀ ε, 1 < ε → a ≤ b * ε :=
   ⟨fun h _ ε_pos => le_mul_of_le_of_one_le h ε_pos.le, le_of_forall_one_lt_le_mul⟩
 #align le_iff_forall_one_lt_le_mul le_iff_forall_one_lt_le_mul
+#align le_iff_forall_pos_le_add le_iff_forall_pos_le_add
 
 @[to_additive]
 theorem le_iff_forall_lt_one_mul_le : a ≤ b ↔ ∀ ε < 1, a * ε ≤ b :=
   @le_iff_forall_one_lt_le_mul αᵒᵈ _ _ _ _ _ _
 #align le_iff_forall_lt_one_mul_le le_iff_forall_lt_one_mul_le
+#align le_iff_forall_neg_add_le le_iff_forall_neg_add_le
 
 end DenselyOrdered
chore: add source headers to ported theory files (#1094)

The script used to do this is included. The yaml file was obtained from https://raw.githubusercontent.com/wiki/leanprover-community/mathlib/mathlib4-port-status.md

Diff
@@ -2,6 +2,11 @@
 Copyright (c) 2016 Jeremy Avigad. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro, Johannes Hölzl
+
+! This file was ported from Lean 3 source module algebra.order.group.densely_ordered
+! leanprover-community/mathlib commit 4e87c8477c6c38b753f050bc9664b94ee859896c
+! Please do not edit these lines, except to modify the commit id
+! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Order.Monoid.Canonical.Defs
 import Mathlib.Algebra.Order.Group.Defs

Dependencies 1 + 46

47 files ported (97.9%)
21852 lines ported (99.6%)
Show graph

The unported dependencies are