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bool_irrelevance -> eq_irrelevance
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Core/DepMaps.v

Lines changed: 5 additions & 5 deletions
Original file line numberDiff line numberDiff line change
@@ -81,21 +81,21 @@ Lemma joinC f1 f2 : f1 \+ f2 = f2 \+ f1.
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Proof.
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case: f1 f2=>d1 pf1[d2 pf2]; rewrite /join/=.
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move: (dmDom_join pf1 pf2) (dmDom_join pf2 pf1); rewrite joinC=>G1 G2.
84-
by move: (bool_irrelevance G1 G2)=>->.
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by move: (eq_irrelevance G1 G2)=>->.
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Qed.
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Lemma joinCA f1 f2 f3 : f1 \+ (f2 \+ f3) = f2 \+ (f1 \+ f3).
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Proof.
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case: f1 f2 f3=>d1 pf1[d2 pf2][d3 pf3]; rewrite /join/=.
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move: (dmDom_join pf1 (dmDom_join pf2 pf3)) (dmDom_join pf2 (dmDom_join pf1 pf3)).
91-
by rewrite joinCA=>G1 G2; move: (bool_irrelevance G1 G2)=>->.
91+
by rewrite joinCA=>G1 G2; move: (eq_irrelevance G1 G2)=>->.
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Qed.
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Lemma joinA f1 f2 f3 : f1 \+ (f2 \+ f3) = (f1 \+ f2) \+ f3.
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Proof.
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case: f1 f2 f3=>d1 pf1[d2 pf2][d3 pf3]; rewrite /join/=.
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move: (dmDom_join pf1 (dmDom_join pf2 pf3)) (dmDom_join (dmDom_join pf1 pf2) pf3).
98-
by rewrite joinA=>G1 G2; move: (bool_irrelevance G1 G2)=>->.
98+
by rewrite joinA=>G1 G2; move: (eq_irrelevance G1 G2)=>->.
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Qed.
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Lemma validL f1 f2 : valid (f1 \+ f2) -> valid f1.
@@ -105,7 +105,7 @@ Lemma unitL f : unit \+ f = f.
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Proof.
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rewrite /join/unit/=; case: f=>//=u pf.
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move: pf (dmDom_join (dmDom_unit labF) pf); rewrite unitL=>g1 g2.
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by move: (bool_irrelevance g1 g2)=>->.
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by move: (eq_irrelevance g1 g2)=>->.
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Qed.
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Lemma validU : valid unit.
@@ -124,7 +124,7 @@ Definition DepMap := DepMap.
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Lemma dep_unit (d : depmap labF) : dmap d = Unit -> d = unit labF.
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Proof.
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case: d=>u pf/=; rewrite /unit. move: (dmDom_unit labF)=>pf' Z; subst u.
127-
by rewrite (bool_irrelevance pf).
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by rewrite (eq_irrelevance pf).
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Qed.
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Coercion dmap := dmap.

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