proposition: Lemma dec_prod {A B} (HA : dec A) (HB : dec B) : dec (A * B).
proof: Proof. destruct HA; [ destruct HB; [ left; split; assumption | right ] | right ]; intros [? ?]; eauto with nocore. Defined.
imports: Fiat.Common.Coq__8_4__8_5__Compat Coq.Lists.List Coq.Arith.EqNat Coq.Arith.Compare_dec Coq.Arith.Wf_nat Coq.ZArith.ZArith Fiat.Common.List.Operations Fiat.Parsers.ContextFreeGrammar.Core Fiat.Parsers.BaseTypes Fiat.Parsers.GenericBaseTypes Fiat.Parsers.GenericCorrectnessBaseTypes Fiat.Parsers.StringLike.Properties Fiat.Parsers.MinimalParse Fiat.Parsers.CorrectnessBaseTypes Fiat.Parsers.BaseTypesLemmas Fiat.Parsers.ContextFreeGrammar.Properties Fiat.Parsers.WellFoundedParse Fiat.Parsers.MinimalParseOfParse Fiat.Parsers.GenericRecognizer Fiat.Parsers.GenericRecognizerExt Fiat.Common.Wf Fiat.Common.Wf1 Fiat.Common.List.ListFacts Fiat.Common.NatFacts Fiat.Common.UIP Fiat.Common