diff -r 182454c06a80 -r ad3a241def73 src/FOL/ex/Propositional_Int.thy --- a/src/FOL/ex/Propositional_Int.thy Sat Apr 27 11:37:50 2013 +0200 +++ b/src/FOL/ex/Propositional_Int.thy Sat Apr 27 20:50:20 2013 +0200 @@ -12,106 +12,106 @@ text {* commutative laws of @{text "&"} and @{text "|"} *} lemma "P & Q --> Q & P" - by (tactic "IntPr.fast_tac 1") + by (tactic "IntPr.fast_tac @{context} 1") lemma "P | Q --> Q | P" - by (tactic "IntPr.fast_tac 1") + by (tactic "IntPr.fast_tac @{context} 1") text {* associative laws of @{text "&"} and @{text "|"} *} lemma "(P & Q) & R --> P & (Q & R)" - by (tactic "IntPr.fast_tac 1") + by (tactic "IntPr.fast_tac @{context} 1") lemma "(P | Q) | R --> P | (Q | R)" - by (tactic "IntPr.fast_tac 1") + by (tactic "IntPr.fast_tac @{context} 1") text {* distributive laws of @{text "&"} and @{text "|"} *} lemma "(P & Q) | R --> (P | R) & (Q | R)" - by (tactic "IntPr.fast_tac 1") + by (tactic "IntPr.fast_tac @{context} 1") lemma "(P | R) & (Q | R) --> (P & Q) | R" - by (tactic "IntPr.fast_tac 1") + by (tactic "IntPr.fast_tac @{context} 1") lemma "(P | Q) & R --> (P & R) | (Q & R)" - by (tactic "IntPr.fast_tac 1") + by (tactic "IntPr.fast_tac @{context} 1") lemma "(P & R) | (Q & R) --> (P | Q) & R" - by (tactic "IntPr.fast_tac 1") + by (tactic "IntPr.fast_tac @{context} 1") text {* Laws involving implication *} lemma "(P-->R) & (Q-->R) <-> (P|Q --> R)" - by (tactic "IntPr.fast_tac 1") + by (tactic "IntPr.fast_tac @{context} 1") lemma "(P & Q --> R) <-> (P--> (Q-->R))" - by (tactic "IntPr.fast_tac 1") + by (tactic "IntPr.fast_tac @{context} 1") lemma "((P-->R)-->R) --> ((Q-->R)-->R) --> (P&Q-->R) --> R" - by (tactic "IntPr.fast_tac 1") + by (tactic "IntPr.fast_tac @{context} 1") lemma "~(P-->R) --> ~(Q-->R) --> ~(P&Q-->R)" - by (tactic "IntPr.fast_tac 1") + by (tactic "IntPr.fast_tac @{context} 1") lemma "(P --> Q & R) <-> (P-->Q) & (P-->R)" - by (tactic "IntPr.fast_tac 1") + by (tactic "IntPr.fast_tac @{context} 1") text {* Propositions-as-types *} -- {* The combinator K *} lemma "P --> (Q --> P)" - by (tactic "IntPr.fast_tac 1") + by (tactic "IntPr.fast_tac @{context} 1") -- {* The combinator S *} lemma "(P-->Q-->R) --> (P-->Q) --> (P-->R)" - by (tactic "IntPr.fast_tac 1") + by (tactic "IntPr.fast_tac @{context} 1") -- {* Converse is classical *} lemma "(P-->Q) | (P-->R) --> (P --> Q | R)" - by (tactic "IntPr.fast_tac 1") + by (tactic "IntPr.fast_tac @{context} 1") lemma "(P-->Q) --> (~Q --> ~P)" - by (tactic "IntPr.fast_tac 1") + by (tactic "IntPr.fast_tac @{context} 1") text {* Schwichtenberg's examples (via T. Nipkow) *} lemma stab_imp: "(((Q-->R)-->R)-->Q) --> (((P-->Q)-->R)-->R)-->P-->Q" - by (tactic "IntPr.fast_tac 1") + by (tactic "IntPr.fast_tac @{context} 1") lemma stab_to_peirce: "(((P --> R) --> R) --> P) --> (((Q --> R) --> R) --> Q) --> ((P --> Q) --> P) --> P" - by (tactic "IntPr.fast_tac 1") + by (tactic "IntPr.fast_tac @{context} 1") lemma peirce_imp1: "(((Q --> R) --> Q) --> Q) --> (((P --> Q) --> R) --> P --> Q) --> P --> Q" - by (tactic "IntPr.fast_tac 1") + by (tactic "IntPr.fast_tac @{context} 1") lemma peirce_imp2: "(((P --> R) --> P) --> P) --> ((P --> Q --> R) --> P) --> P" - by (tactic "IntPr.fast_tac 1") + by (tactic "IntPr.fast_tac @{context} 1") lemma mints: "((((P --> Q) --> P) --> P) --> Q) --> Q" - by (tactic "IntPr.fast_tac 1") + by (tactic "IntPr.fast_tac @{context} 1") lemma mints_solovev: "(P --> (Q --> R) --> Q) --> ((P --> Q) --> R) --> R" - by (tactic "IntPr.fast_tac 1") + by (tactic "IntPr.fast_tac @{context} 1") lemma tatsuta: "(((P7 --> P1) --> P10) --> P4 --> P5) --> (((P8 --> P2) --> P9) --> P3 --> P10) --> (P1 --> P8) --> P6 --> P7 --> (((P3 --> P2) --> P9) --> P4) --> (P1 --> P3) --> (((P6 --> P1) --> P2) --> P9) --> P5" - by (tactic "IntPr.fast_tac 1") + by (tactic "IntPr.fast_tac @{context} 1") lemma tatsuta1: "(((P8 --> P2) --> P9) --> P3 --> P10) --> (((P3 --> P2) --> P9) --> P4) --> (((P6 --> P1) --> P2) --> P9) --> (((P7 --> P1) --> P10) --> P4 --> P5) --> (P1 --> P3) --> (P1 --> P8) --> P6 --> P7 --> P5" - by (tactic "IntPr.fast_tac 1") + by (tactic "IntPr.fast_tac @{context} 1") end