# HG changeset patch # User nipkow # Date 1427815784 -7200 # Node ID c777743294e100250c24a4ecea97594e5e63f3da # Parent 30519ff3dffb45ebe02864f8f12409c8510e904a added lemmas diff -r 30519ff3dffb -r c777743294e1 src/HOL/HOL.thy --- a/src/HOL/HOL.thy Tue Mar 31 15:01:06 2015 +0100 +++ b/src/HOL/HOL.thy Tue Mar 31 17:29:44 2015 +0200 @@ -1264,6 +1264,12 @@ then show "PROP P" . qed +lemma implies_True_equals: "(PROP P \ True) \ Trueprop True" +by default (intro TrueI) + +lemma False_implies_equals: "(False \ P) \ Trueprop True" +by default simp_all + lemma ex_simps: "!!P Q. (EX x. P x & Q) = ((EX x. P x) & Q)" "!!P Q. (EX x. P & Q x) = (P & (EX x. Q x))"