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Simplify some smt calls #1025

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11 changes: 5 additions & 6 deletions theories/algebra/DynMatrix.eca
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Original file line number Diff line number Diff line change
Expand Up @@ -1663,18 +1663,17 @@ lemma catmr_subm m n: 0 <= n < cols m =>
(subm m 0 (rows m) 0 n || subm m 0 (rows m) n (cols m)) = m.
proof.
move => n_bound; rewrite eq_matrixP /=.
split => [| i j bound].
- smt(rows_catmr cols_catmr size_subm).
rewrite rows_catmr cols_catmr 2!cols_subm 2!rows_subm /= maxzz /=.
split => [/#| i j bound].
rewrite get_catmr // cols_subm /=.
case (j < n) => j_bound.
- rewrite get_subm /=; first 2 smt(size_catmr size_subm).
rewrite (getm0E (subm _ _ _ _ _)).
- rewrite get_subm /= 1,2:/# (getm0E (subm _ _ _ _ _)).
+ smt(size_catmr size_subm).
by rewrite addr0.
- rewrite getm0E; 1: smt(size_catmr size_subm).
rewrite add0r get_subm; [3:smt()].
+ smt(rows_catmr rows_subm).
+ smt(cols_catmr cols_subm).
+ by elim bound.
+ smt().
qed.

lemma subm_colmx (m: matrix) l :
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2 changes: 1 addition & 1 deletion theories/prelude/Logic.ec
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Expand Up @@ -522,7 +522,7 @@ lemma addbACA : interchange (^) (^) by smt().
lemma andb_addl : left_distributive (/\) (^) by smt().
lemma andb_addr : right_distributive (/\) (^) by smt().
lemma addKb : left_loop idfun (^) by smt().
lemma addbK : right_loop idfun (^) by smt().
lemma addbK : right_loop idfun (^) by case.
lemma addIb : left_injective (^) by smt().
lemma addbI : right_injective (^) by smt().
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