From 0dada87452ae95605990c8032bef534dace2d92d Mon Sep 17 00:00:00 2001 From: Claudio Sacerdoti Coen Date: Mon, 5 Oct 2009 15:06:32 +0000 Subject: [PATCH] ... --- helm/software/matita/nlibrary/sets/partitions.ma | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/helm/software/matita/nlibrary/sets/partitions.ma b/helm/software/matita/nlibrary/sets/partitions.ma index b8bc9bffe..95145b11b 100644 --- a/helm/software/matita/nlibrary/sets/partitions.ma +++ b/helm/software/matita/nlibrary/sets/partitions.ma @@ -20,6 +20,7 @@ include "datatypes/pairs.ma". alias symbol "eq" = "setoid eq". alias symbol "eq" = "setoid1 eq". +alias symbol "eq" = "setoid eq". nrecord partition (A: setoid) : Type[1] ≝ { support: setoid; indexes: ext_powerclass support; @@ -165,7 +166,7 @@ napply (. #‡(†?));##[##2: napply Hni2 |##1: ##skip | nassumption]##] |##5: napply le_S_S_to_le; nassumption |##*: nassumption]##] ##| #x; #x'; nnormalize in ⊢ (? → ? → %); #Hx; #Hx'; #E; - ncut(∀i1,i2,i1',i2'. i1 ∈ Nat_ (S n) → i1' ∈ Nat_ (S n) → i2 ∈ pc ? (Nat_ (s i1)) → i2' ∈ pc ? (Nat_ (s i1')) → eq_rel (carr A) (eq A) (iso_f ???? (fi i1) i2) (iso_f ???? (fi i1') i2') → i1=i1' ∧ i2=i2'); + ncut(∀i1,i2,i1',i2'. i1 ∈ Nat_ (S n) → i1' ∈ Nat_ (S n) → i2 ∈ Nat_ (s i1) → i2' ∈ Nat_ (s i1') → eq_rel (carr A) (eq A) (fi i1 i2) (fi i1' i2') → i1=i1' ∧ i2=i2'); ##[ #i1; #i2; #i1'; #i2'; #Hi1; #Hi1'; #Hi2; #Hi2'; #E; nlapply(disjoint … P (f i1) (f i1') ???) [##2,3: napply f_closed; nassumption @@ -198,7 +199,7 @@ ndefinition partition_of_compatible_equivalence_relation: [ napply (quotient ? R) | napply Full_set | napply mk_unary_morphism1 - [ #a; napply mk_qpowerclass + [ #a; napply mk_ext_powerclass [ napply {x | R x a} | #x; #x'; #H; nnormalize; napply mk_iff; #K; nelim daemon] ##| #a; #a'; #H; napply conj; #x; nnormalize; #K [ nelim daemon | nelim daemon]##] -- 2.39.2