From 0b1ea03dafcf36880657ba910eec28ab78ccd018 Mon Sep 17 00:00:00 2001
From: Georges Gonthier
Date: Thu, 13 Dec 2018 12:55:43 +0100
Subject: Adjust implicits of cancellation lemmas

Like injectivity lemmas, instances of cancellation lemmas (whose
conclusion is `cancel ? ?`, `{in ?, cancel ? ?}`, `pcancel`, or
`ocancel`) are passed to
generic lemmas such as `canRL` or `canLR_in`. Thus such lemmas should
not have trailing on-demand implicits _just before_ the `cancel`
conclusion, as these would be inconvenient to insert (requiring
essentially an explicit eta-expansion).
We therefore use `Arguments` or `Prenex Implicits` directives to make
all such arguments maximally inserted implicits. We don’t, however make
other arguments implicit, so as not to spoil direct instantiation of
the lemmas (in, e.g., `rewrite -[y](invmK injf)`).
We have also tried to do this with lemmas whose statement matches a
`cancel`, i.e., ending in `forall x, g (E[x]) = x` (where pattern
unification will pick up `f = fun x => E[x]`).
We also adjusted implicits of a few stray injectivity
lemmas, and defined constants.
We provide a shorthand for reindexing a bigop with a permutation.
Finally we used the new implicit signatures to simplify proofs that
use injectivity or cancellation lemmas.
---
 mathcomp/solvable/finmodule.v | 5 +++++
 1 file changed, 5 insertions(+)

(limited to 'mathcomp/solvable/finmodule.v')

diff --git a/mathcomp/solvable/finmodule.v b/mathcomp/solvable/finmodule.v
index 5a2b35b..9afe26a 100644
--- a/mathcomp/solvable/finmodule.v
+++ b/mathcomp/solvable/finmodule.v
@@ -243,6 +243,11 @@ Canonical FiniteModule.fmod_finZmodType.
 Canonical FiniteModule.fmod_baseFinGroupType.
 Canonical FiniteModule.fmod_finGroupType.
 
+Arguments FiniteModule.fmodK {gT A} abelA [x] Ax.
+Arguments FiniteModule.fmvalK {gT A abelA} x.
+Arguments FiniteModule.actrK {gT A abelA} x.
+Arguments FiniteModule.actrKV {gT A abelA} x.
+
 (* Still allow ring notations, but give priority to groups now. *)
 Import FiniteModule GroupScope.
 
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