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Adapt to https://github.com/math-comp/math-comp/pull/1068 #1030

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Sep 23, 2023
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Adapt to https://github.com/math-comp/math-comp/pull/1068 #1030

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12 changes: 6 additions & 6 deletions theories/derive.v
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Original file line number Diff line number Diff line change
Expand Up @@ -618,7 +618,7 @@ Proof.
move=> df; set g := RHS; have glin : linear g.
by move=> a u v; rewrite /g linearP /= scalerDl -scalerA.
pose glM := GRing.isLinear.Build _ _ _ _ _ glin.
pose gL : GRing.Linear.type _ _ _ _ := HB.pack g glM.
pose gL : {linear _ -> _} := HB.pack g glM.
by apply:(@diff_unique _ _ _ gL); have [] := dscalel f df.
Qed.

Expand Down Expand Up @@ -657,7 +657,7 @@ Proof.
have sx_lin : linear ( *:%R ^~ x : [the lmodType R of R : Type] -> _).
by move=> u y z; rewrite scalerDl scalerA.
pose sxlM := GRing.isLinear.Build _ _ _ _ _ sx_lin.
pose sxL : GRing.Linear.type _ _ _ _ := HB.pack ( *:%R ^~ x) sxlM.
pose sxL : {linear _ -> _} := HB.pack ( *:%R ^~ x) sxlM.
have -> : *:%R ^~ x = sxL by rewrite funeqE.
apply: DiffDef; first exact/linear_differentiable/scalel_continuous.
by rewrite diff_lin //; apply: scalel_continuous.
Expand Down Expand Up @@ -807,7 +807,7 @@ pose d q := f p.1 q.2 + f q.1 p.2.
move=> fc; have lind : linear d.
by move=> ???; rewrite /d linearPr linearPl scalerDr addrACA.
pose dlM := GRing.isLinear.Build _ _ _ _ _ lind.
pose dL : GRing.Linear.type _ _ _ _ := HB.pack d dlM.
pose dL : {linear _ -> _} := HB.pack d dlM.
rewrite -/d -[d]/(dL : _ -> _).
by apply/diff_unique; have [] := dbilin p fc.
Qed.
Expand Down Expand Up @@ -884,7 +884,7 @@ move=> df dg.
pose d y := ('d f x y, 'd g x y).
have lin_pair : linear d by move=> ???; rewrite /d !linearPZ.
pose pairlM := GRing.isLinear.Build _ _ _ _ _ lin_pair.
pose pairL : GRing.Linear.type _ _ _ _ := HB.pack d pairlM.
pose pairL : {linear _ -> _} := HB.pack d pairlM.
rewrite -/d -[d]/(pairL : _ -> _).
by apply: diff_unique; have [] := dpair df dg.
Qed.
Expand Down Expand Up @@ -1037,7 +1037,7 @@ Proof.
pose d (h : R) := h *: f^`() x.
move=> df; have lin_scal : linear d by move=> ???; rewrite /d scalerDl scalerA.
pose scallM := GRing.isLinear.Build _ _ _ _ _ lin_scal.
pose scalL : GRing.Linear.type _ _ _ _ := HB.pack d scallM.
pose scalL : {linear _ -> _} := HB.pack d scallM.
rewrite -/d -[d]/(scalL : _ -> _).
by apply: diff_unique; [apply: scalel_continuous|apply: der1].
Qed.
Expand All @@ -1048,7 +1048,7 @@ Proof.
pose d (h : R) := h *: 'd f x 1.
move=> df; have lin_scal : linear d by move=> ???; rewrite /d scalerDl scalerA.
pose scallM := GRing.isLinear.Build _ _ _ _ _ lin_scal.
pose scalL : GRing.Linear.type _ _ _ _ := HB.pack d scallM.
pose scalL : {linear _ -> _} := HB.pack d scallM.
have -> : (fun h => h *: f^`() x) = scalL by rewrite derive1E'.
apply: diff_unique; first exact: scalel_continuous.
apply/eqaddoE; have /diff_locally -> := df; congr (_ + _ + _).
Expand Down