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author | David Aspinall <da@inf.ed.ac.uk> | 2008-07-24 09:51:53 +0000 |
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committer | David Aspinall <da@inf.ed.ac.uk> | 2008-07-24 09:51:53 +0000 |
commit | 76d6b0b2b1f039549d308a0d2c478a6b05869af9 (patch) | |
tree | 78cc7e13bf290a17e7006a6d4616a8a08e36ce8f /coq/example-tokens.v | |
parent | 8f8e9388b582ad6d3ee6e1eea842a8d443d4ce89 (diff) |
Merge changes from Version4Branch.
Diffstat (limited to 'coq/example-tokens.v')
-rw-r--r-- | coq/example-tokens.v | 67 |
1 files changed, 67 insertions, 0 deletions
diff --git a/coq/example-tokens.v b/coq/example-tokens.v new file mode 100644 index 00000000..f890eab6 --- /dev/null +++ b/coq/example-tokens.v @@ -0,0 +1,67 @@ +(* + Example uses of X-Symbol symbols in Coq. + See README. + + Pierre Courtieu + + $Id$ +*) + +Fixpoint toto (x:nat) {struct x} : nat := (* nat should appear as |N *) + match x with + | O => O (* double arrow here *) + | S y => toto y (* double arrow here *) + end. + +Lemma titi : forall x:nat,x=x. (* symbolique for-all and nat *) +Admitted. + +(* this should appear like foo'a'1_B_3 where a and B are greek *) +Variable foo'alpha'1_beta_3 : Set. + +Fixpoint pow (n m:nat) {struct n} : nat := + match n with + | O => 0 + | S p => m * pow p m + end. + +Notation " a ,{ b } " := (a - b) + (at level 1, no associativity). + +Notation "a ^^ b" := (pow a b) + (at level 1, no associativity). + +Notation "a ^{ b }" := (pow a b) + (at level 1, no associativity). + + +Variable delta:nat. + +(* greek delta with a sub 1 and the same with super 1 *) +Definition delta__1 := 0. +Definition delta__2 := delta^^1. +Definition delta__3 := delta__2^{delta}. + +Parameter a b x:nat. +(* x with a+b subscripted and then superscripted *) +Definition x_a_b':= x^{a+b}. +Definition x_a_b := x,{a+b}. +Definition x_a_b'' := x,{a+b}^{a*b}. + +(* no greek letter should appear on this next line! *) +Variable philosophi : Set. + +(* same here *) +Variable aalpha alphaa : Set. + + +(* _a where a is greek *) +Variable _alpha : Set. + +(* a_ where a is greek *) +Variable alpha_ : Set. + +Lemma gamma__neqn : forall n__i:nat, n__i=n__i. + + +alpha lhd rhd lambda forall exists exists exist |