diff --git a/_posts/Mathematics/Coq/2023-07-08-rules-of-inference.md b/_posts/Mathematics/Coq/2023-07-08-rules-of-inference.md index 88772d3..e52c4b1 100644 --- a/_posts/Mathematics/Coq/2023-07-08-rules-of-inference.md +++ b/_posts/Mathematics/Coq/2023-07-08-rules-of-inference.md @@ -2,11 +2,16 @@ share: true toc: true math: true -categories: [Mathematics, Coq] -tags: [math, coq, proof-verification] -title: "Rules of Inference with Coq" -date: "2023-07-08" -github_title: "2023-07-08-rules-of-inference" +categories: + - Mathematics + - Coq +tags: + - math + - coq + - proof-verification +title: Rules of Inference with Coq +date: 2023-07-08 +github_title: 2023-07-08-rules-of-inference --- This is a list of proofs with Coq, for each rule of inference stated in [List of Rules of Inference (Wikipedia)](https://en.wikipedia.org/wiki/List_of_rules_of_inference) @@ -188,7 +193,7 @@ Lemma distributive_conjunction : forall P Q R : Prop, Proof. split; intros. - destruct H as [H [H1 | H1]]; auto. - - destruct H as [ [H1 H2](H1%20H2.md); auto. + - destruct H as [[H1 H2] | [H1 H2]]; auto. Qed. Lemma material_implication_converse : forall P Q : Prop,