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4 (* ||A|| A project by Andrea Asperti *)
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7 (* ||T|| The HELM team. *)
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15 set "baseuri" "cic:/matita/RELATIONAL/BEq/defs".
17 include "logic/equality.ma".
19 include "BNot/defs.ma".
21 inductive BEq (b1:Bool): Bool \to Bool \to Prop \def
22 | beq_false: \forall b2. (~b1 == b2) \to BEq b1 false b2
23 | beq_true : BEq b1 true b1
26 (*CSC: the URI must disappear: there is a bug now *)
27 interpretation "boolean coimplication predicate" 'rel_coimp x y z =
28 (cic:/matita/RELATIONAL/BEq/defs/BEq.ind#xpointer(1/1) x y z).
30 notation "hvbox(a break * b break == c)"
31 non associative with precedence 95
32 for @{ 'rel_coimp $a $b $c}.