Pull all occurrences of the induction variable into the conclusion in Isabelle
I find the book "Isabelle/HOL: A Proof Assitant for Higher-Order logic" a very good reference to improve the apply-style coding in Isabelle. In several parts of the books (for instance section 9.2) the authors state that a good heuristic for induction is to:
pull all occurrence of the induction variable into the conclusion
using ⟶
but the way they do this is by restating the goal as a lemma with the ⟶ instead of ⟹. I want to do this automatically in apply-style. My current goal is of the form:
⋀ param. A ⟹ B
How would you pull A into the conclusions using apply-style?
isabelle
asked Nov 26 '18 at 18:30
JavierJavier
653723
add a comment |
I find the book "Isabelle/HOL: A Proof Assitant for Higher-Order logic" a very good reference to improve the apply-style coding in Isabelle. In several parts of the books (for instance section 9.2) the authors state that a good heuristic for induction is to:
pull all occurrence of the induction variable into the conclusion
using ⟶
but the way they do this is by restating the goal as a lemma with the ⟶ instead of ⟹. I want to do this automatically in apply-style. My current goal is of the form:
⋀ param. A ⟹ B
How would you pull A into the conclusions using apply-style?
isabelle
asked Nov 26 '18 at 18:30
JavierJavier
653723
@xanonec, i mixed question that comment was intended for stackoverflow.com/questions/53486780/…
– Javier
Nov 26 '18 at 22:55
@xanonec the command you indicated works perfect for me, feel free to add it as an answer
– Javier
Nov 26 '18 at 22:56
add a comment |
I find the book "Isabelle/HOL: A Proof Assitant for Higher-Order logic" a very good reference to improve the apply-style coding in Isabelle. In several parts of the books (for instance section 9.2) the authors state that a good heuristic for induction is to:
pull all occurrence of the induction variable into the conclusion
using ⟶
but the way they do this is by restating the goal as a lemma with the ⟶ instead of ⟹. I want to do this automatically in apply-style. My current goal is of the form:
⋀ param. A ⟹ B
How would you pull A into the conclusions using apply-style?
isabelle
asked Nov 26 '18 at 18:30
JavierJavier
653723
I find the book "Isabelle/HOL: A Proof Assitant for Higher-Order logic" a very good reference to improve the apply-style coding in Isabelle. In several parts of the books (for instance section 9.2) the authors state that a good heuristic for induction is to:
pull all occurrence of the induction variable into the conclusion
using ⟶
but the way they do this is by restating the goal as a lemma with the ⟶ instead of ⟹. I want to do this automatically in apply-style. My current goal is of the form:
⋀ param. A ⟹ B
How would you pull A into the conclusions using apply-style?
isabelle
isabelle
asked Nov 26 '18 at 18:30
JavierJavier
653723
asked Nov 26 '18 at 18:30
JavierJavier
653723
asked Nov 26 '18 at 18:30
JavierJavier
653723
asked Nov 26 '18 at 18:30
JavierJavier
653723
asked Nov 26 '18 at 18:30
JavierJavier
653723
653723
@xanonec, i mixed question that comment was intended for stackoverflow.com/questions/53486780/…
– Javier
Nov 26 '18 at 22:55
@xanonec the command you indicated works perfect for me, feel free to add it as an answer
– Javier
Nov 26 '18 at 22:56
add a comment |
@xanonec, i mixed question that comment was intended for stackoverflow.com/questions/53486780/…
– Javier
Nov 26 '18 at 22:55
@xanonec the command you indicated works perfect for me, feel free to add it as an answer
– Javier
Nov 26 '18 at 22:56
@xanonec, i mixed question that comment was intended for stackoverflow.com/questions/53486780/…
– Javier
Nov 26 '18 at 22:55
@xanonec, i mixed question that comment was intended for stackoverflow.com/questions/53486780/…
– Javier
Nov 26 '18 at 22:55
@xanonec the command you indicated works perfect for me, feel free to add it as an answer
– Javier
Nov 26 '18 at 22:56
@xanonec the command you indicated works perfect for me, feel free to add it as an answer
– Javier
Nov 26 '18 at 22:56
add a comment |
1 Answer
1
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You can use apply(erule rev_mp) to restate the goal using ⟶.
answered Nov 26 '18 at 23:23
xanonecxanonec
537113
add a comment |
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You can use apply(erule rev_mp) to restate the goal using ⟶.
answered Nov 26 '18 at 23:23
xanonecxanonec
537113
add a comment |
You can use apply(erule rev_mp) to restate the goal using ⟶.
answered Nov 26 '18 at 23:23
xanonecxanonec
537113
add a comment |
You can use apply(erule rev_mp) to restate the goal using ⟶.
answered Nov 26 '18 at 23:23
xanonecxanonec
537113
You can use apply(erule rev_mp) to restate the goal using ⟶.
answered Nov 26 '18 at 23:23
xanonecxanonec
537113
answered Nov 26 '18 at 23:23
xanonecxanonec
537113
answered Nov 26 '18 at 23:23
xanonecxanonec
537113
answered Nov 26 '18 at 23:23
xanonecxanonec
537113
537113
add a comment |
add a comment |
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@xanonec, i mixed question that comment was intended for stackoverflow.com/questions/53486780/…
– Javier
Nov 26 '18 at 22:55
@xanonec the command you indicated works perfect for me, feel free to add it as an answer
– Javier
Nov 26 '18 at 22:56