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2 changes: 1 addition & 1 deletion Mathlib/Data/Nat/Prime.lean
Original file line number Diff line number Diff line change
Expand Up @@ -179,7 +179,7 @@ theorem Prime.five_le_of_ne_two_of_ne_three {p : ℕ} (hp : p.Prime) (h_two : p
(h_three : p ≠ 3) : 5 ≤ p := by
by_contra! h
revert h_two h_three hp
-- Porting note: was `decide!`
-- Porting note (#11043): was `decide!`
match p with
| 0 => decide
| 1 => decide
Expand Down
20 changes: 10 additions & 10 deletions Mathlib/Geometry/Euclidean/MongePoint.lean
Original file line number Diff line number Diff line change
Expand Up @@ -473,11 +473,11 @@ planes. -/
theorem altitude_eq_mongePlane (t : Triangle ℝ P) {i₁ i₂ i₃ : Fin 3} (h₁₂ : i₁ ≠ i₂) (h₁₃ : i₁ ≠ i₃)
(h₂₃ : i₂ ≠ i₃) : t.altitude i₁ = t.mongePlane i₂ i₃ := by
have hs : ({i₂, i₃}ᶜ : Finset (Fin 3)) = {i₁} := by
-- porting note: was `decide!`
-- Porting note (#11043): was `decide!`
fin_cases i₁ <;> fin_cases i₂ <;> fin_cases i₃
<;> simp (config := {decide := true}) at h₁₂ h₁₃ h₂₃ ⊢
have he : univ.erase i₁ = {i₂, i₃} := by
-- porting note: was `decide!`
-- Porting note (#11043): was `decide!`
fin_cases i₁ <;> fin_cases i₂ <;> fin_cases i₃
<;> simp (config := {decide := true}) at h₁₂ h₁₃ h₂₃ ⊢
rw [mongePlane_def, altitude_def, direction_affineSpan, hs, he, centroid_singleton, coe_insert,
Expand All @@ -492,7 +492,7 @@ theorem altitude_eq_mongePlane (t : Triangle ℝ P) {i₁ i₂ i₃ : Fin 3} (h
theorem orthocenter_mem_altitude (t : Triangle ℝ P) {i₁ : Fin 3} :
t.orthocenter ∈ t.altitude i₁ := by
obtain ⟨i₂, i₃, h₁₂, h₂₃, h₁₃⟩ : ∃ i₂ i₃, i₁ ≠ i₂ ∧ i₂ ≠ i₃ ∧ i₁ ≠ i₃ := by
-- porting note: was `decide!`
-- Porting note (#11043): was `decide!`
fin_cases i₁ <;> decide
rw [orthocenter_eq_mongePoint, t.altitude_eq_mongePlane h₁₂ h₁₃ h₂₃]
exact t.mongePoint_mem_mongePlane
Expand All @@ -504,7 +504,7 @@ theorem eq_orthocenter_of_forall_mem_altitude {t : Triangle ℝ P} {i₁ i₂ :
(h₁₂ : i₁ ≠ i₂) (h₁ : p ∈ t.altitude i₁) (h₂ : p ∈ t.altitude i₂) : p = t.orthocenter := by
obtain ⟨i₃, h₂₃, h₁₃⟩ : ∃ i₃, i₂ ≠ i₃ ∧ i₁ ≠ i₃ := by
clear h₁ h₂
-- porting note: was `decide!`
-- Porting note (#11043): was `decide!`
fin_cases i₁ <;> fin_cases i₂ <;> decide
rw [t.altitude_eq_mongePlane h₁₃ h₁₂ h₂₃.symm] at h₁
rw [t.altitude_eq_mongePlane h₂₃ h₁₂.symm h₁₃.symm] at h₂
Expand All @@ -513,7 +513,7 @@ theorem eq_orthocenter_of_forall_mem_altitude {t : Triangle ℝ P} {i₁ i₂ :
intro i hi
have hi₁₂ : i₁ = i ∨ i₂ = i := by
clear h₁ h₂
-- porting note: was `decide!`
-- Porting note (#11043): was `decide!`
fin_cases i₁ <;> fin_cases i₂ <;> fin_cases i₃ <;> fin_cases i <;> simp at h₁₂ h₁₃ h₂₃ hi ⊢
cases' hi₁₂ with hi₁₂ hi₁₂
· exact hi₁₂ ▸ h₂
Expand All @@ -536,7 +536,7 @@ theorem dist_orthocenter_reflection_circumcenter (t : Triangle ℝ P) {i₁ i₂
have hu : ({i₁, i₂} : Finset (Fin 3)) ⊆ univ := subset_univ _
obtain ⟨i₃, hi₃, hi₃₁, hi₃₂⟩ :
∃ i₃, univ \ ({i₁, i₂} : Finset (Fin 3)) = {i₃} ∧ i₃ ≠ i₁ ∧ i₃ ≠ i₂ := by
-- porting note: was `decide!`
-- Porting note (#11043): was `decide!`
fin_cases i₁ <;> fin_cases i₂ <;> simp at h <;> decide
-- Porting note: Original proof was `simp_rw [← sum_sdiff hu, hi₃]; simp [hi₃₁, hi₃₂]; norm_num`
rw [← sum_sdiff hu, ← sum_sdiff hu, hi₃, sum_singleton, ← sum_sdiff hu, hi₃]
Expand Down Expand Up @@ -590,7 +590,7 @@ theorem altitude_replace_orthocenter_eq_affineSpan {t₁ t₂ : Triangle ℝ P}
refine' eq_of_le_of_finrank_eq (direction_le (spanPoints_subset_coe_of_subset_coe _)) _
· have hu : (Finset.univ : Finset (Fin 3)) = {j₁, j₂, j₃} := by
clear h₁ h₂ h₃
-- porting note: was `decide!`
-- Porting note (#11043): was `decide!`
fin_cases j₁ <;> fin_cases j₂ <;> fin_cases j₃
<;> simp (config := {decide := true}) at hj₁₂ hj₁₃ hj₂₃ ⊢
rw [← Set.image_univ, ← Finset.coe_univ, hu, Finset.coe_insert, Finset.coe_insert,
Expand All @@ -606,7 +606,7 @@ theorem altitude_replace_orthocenter_eq_affineSpan {t₁ t₂ : Triangle ℝ P}
use mem_affineSpan ℝ (Set.mem_range_self _)
have hu : Finset.univ.erase j₂ = {j₁, j₃} := by
clear h₁ h₂ h₃
-- porting note: was `decide!`
-- Porting note (#11043): was `decide!`
fin_cases j₁ <;> fin_cases j₂ <;> fin_cases j₃
<;> simp (config := {decide := true}) at hj₁₂ hj₁₃ hj₂₃ ⊢
rw [hu, Finset.coe_insert, Finset.coe_singleton, Set.image_insert_eq, Set.image_singleton, h₁, h₃]
Expand All @@ -615,7 +615,7 @@ theorem altitude_replace_orthocenter_eq_affineSpan {t₁ t₂ : Triangle ℝ P}
refine' hle ((t₁.vectorSpan_isOrtho_altitude_direction i₃) _)
have hui : Finset.univ.erase i₃ = {i₁, i₂} := by
clear hle h₂ h₃
-- porting note: was `decide!`
-- Porting note (#11043): was `decide!`
fin_cases i₁ <;> fin_cases i₂ <;> fin_cases i₃
<;> simp (config := {decide := true}) at hi₁₂ hi₁₃ hi₂₃ ⊢
rw [hui, Finset.coe_insert, Finset.coe_singleton, Set.image_insert_eq, Set.image_singleton]
Expand Down Expand Up @@ -787,7 +787,7 @@ theorem OrthocentricSystem.eq_insert_orthocenter {s : Set P} (ho : OrthocentricS
· obtain ⟨j₁, hj₁₂, hj₁₃, hj₁₂₃⟩ :
∃ j₁ : Fin 3, j₁ ≠ j₂ ∧ j₁ ≠ j₃ ∧ ∀ j : Fin 3, j = j₁ ∨ j = j₂ ∨ j = j₃ := by
clear h₂ h₃
-- porting note: was `decide!`
-- Porting note (#11043): was `decide!`
fin_cases j₂ <;> fin_cases j₃ <;> simp (config := {decide := true}) at hj₂₃ ⊢
suffices h : t₀.points j₁ = t.orthocenter by
have hui : (Set.univ : Set (Fin 3)) = {i₁, i₂, i₃} := by ext x; simpa using h₁₂₃ x
Expand Down
Original file line number Diff line number Diff line change
Expand Up @@ -58,7 +58,7 @@ theorem FiniteField.isSquare_two_iff :
have h₁ := Nat.mod_lt (Fintype.card F) (by decide : 0 < 8)
revert h₁ h
generalize Fintype.card F % 8 = n
intros; interval_cases n <;> simp_all -- Porting note: was `decide!`
intros; interval_cases n <;> simp_all -- Porting note (#11043): was `decide!`
#align finite_field.is_square_two_iff FiniteField.isSquare_two_iff

/-- The value of the quadratic character at `-2` -/
Expand Down Expand Up @@ -88,7 +88,7 @@ theorem FiniteField.isSquare_neg_two_iff :
have h₁ := Nat.mod_lt (Fintype.card F) (by decide : 0 < 8)
revert h₁ h
generalize Fintype.card F % 8 = n
intros; interval_cases n <;> simp_all -- Porting note: was `decide!`
intros; interval_cases n <;> simp_all -- Porting note (#11043): was `decide!`
#align finite_field.is_square_neg_two_iff FiniteField.isSquare_neg_two_iff

/-- The relation between the values of the quadratic character of one field `F` at the
Expand Down
4 changes: 2 additions & 2 deletions Mathlib/NumberTheory/LegendreSymbol/QuadraticReciprocity.lean
Original file line number Diff line number Diff line change
Expand Up @@ -82,7 +82,7 @@ theorem exists_sq_eq_two_iff : IsSquare (2 : ZMod p) ↔ p % 8 = 1 ∨ p % 8 = 7
have h₂ := mod_lt p (by norm_num : 0 < 8)
revert h₂ h₁
generalize p % 8 = m; clear! p
intros; interval_cases m <;> simp_all -- Porting note: was `decide!`
intros; interval_cases m <;> simp_all -- Porting note (#11043): was `decide!`
#align zmod.exists_sq_eq_two_iff ZMod.exists_sq_eq_two_iff

/-- `-2` is a square modulo an odd prime `p` iff `p` is congruent to `1` or `3` mod `8`. -/
Expand All @@ -93,7 +93,7 @@ theorem exists_sq_eq_neg_two_iff : IsSquare (-2 : ZMod p) ↔ p % 8 = 1 ∨ p %
have h₂ := mod_lt p (by norm_num : 0 < 8)
revert h₂ h₁
generalize p % 8 = m; clear! p
intros; interval_cases m <;> simp_all -- Porting note: was `decide!`
intros; interval_cases m <;> simp_all -- Porting note (#11043): was `decide!`
#align zmod.exists_sq_eq_neg_two_iff ZMod.exists_sq_eq_neg_two_iff

end ZMod
Expand Down
2 changes: 1 addition & 1 deletion Mathlib/NumberTheory/LegendreSymbol/ZModChar.lean
Original file line number Diff line number Diff line change
Expand Up @@ -47,7 +47,7 @@ def χ₄ : MulChar (ZMod 4) ℤ where
/-- `χ₄` takes values in `{0, 1, -1}` -/
theorem isQuadratic_χ₄ : χ₄.IsQuadratic := by
intro a
-- Porting note: was `decide!`
-- Porting note (#11043): was `decide!`
fin_cases a
all_goals decide
#align zmod.is_quadratic_χ₄ ZMod.isQuadratic_χ₄
Expand Down
2 changes: 1 addition & 1 deletion Mathlib/NumberTheory/Zsqrtd/QuadraticReciprocity.lean
Original file line number Diff line number Diff line change
Expand Up @@ -46,7 +46,7 @@ theorem mod_four_eq_three_of_nat_prime_of_prime (p : ℕ) [hp : Fact p.Prime]
have := Nat.mod_lt p (show 0 < 4 by decide)
revert this hp3 hp1
generalize p % 4 = m
intros; interval_cases m <;> simp_all -- Porting note: was `decide!`
intros; interval_cases m <;> simp_all -- Porting note (#11043): was `decide!`
let ⟨k, hk⟩ := (ZMod.exists_sq_eq_neg_one_iff (p := p)).2 <| by rw [hp41]; decide
obtain ⟨k, k_lt_p, rfl⟩ : ∃ (k' : ℕ) (_ : k' < p), (k' : ZMod p) = k := by
exact ⟨k.val, k.val_lt, ZMod.nat_cast_zmod_val k⟩
Expand Down