diff options
| author | Vincent Laporte | 2019-02-11 09:53:25 +0000 |
|---|---|---|
| committer | Vincent Laporte | 2019-02-14 07:04:42 +0000 |
| commit | 398452805f1e3d0b2f4fac0d3a1b00ce9789e427 (patch) | |
| tree | 94d63d6711e863673d12ecbaa5ead51e978d5b07 /doc/sphinx/proof-engine | |
| parent | 940a7ef064de410bba89b8f36b00bd762da874d0 (diff) | |
[Manual] Clean examples for `apply`
Diffstat (limited to 'doc/sphinx/proof-engine')
| -rw-r--r-- | doc/sphinx/proof-engine/tactics.rst | 30 |
1 files changed, 25 insertions, 5 deletions
diff --git a/doc/sphinx/proof-engine/tactics.rst b/doc/sphinx/proof-engine/tactics.rst index e5f56407c8..d58cbdec07 100644 --- a/doc/sphinx/proof-engine/tactics.rst +++ b/doc/sphinx/proof-engine/tactics.rst @@ -755,33 +755,49 @@ Applying theorems A solution is to ``apply (Rtrans n m p)`` or ``(Rtrans n m)``. - .. coqtop:: all undo + .. coqtop:: all apply (Rtrans n m p). Note that ``n`` can be inferred from the goal, so the following would work too. - .. coqtop:: in undo + .. coqtop:: none + + Abort. Goal R n p. + + .. coqtop:: in apply (Rtrans _ m). More elegantly, ``apply Rtrans with (y:=m)`` allows only mentioning the unknown m: - .. coqtop:: in undo + .. coqtop:: none + + Abort. Goal R n p. + + .. coqtop:: in apply Rtrans with (y := m). Another solution is to mention the proof of ``(R x y)`` in ``Rtrans`` - .. coqtop:: all undo + .. coqtop:: none + + Abort. Goal R n p. + + .. coqtop:: all apply Rtrans with (1 := Rnm). ... or the proof of ``(R y z)``. - .. coqtop:: all undo + .. coqtop:: none + + Abort. Goal R n p. + + .. coqtop:: all apply Rtrans with (2 := Rmp). @@ -789,6 +805,10 @@ Applying theorems finding ``m``. Then one can apply the hypotheses ``Rnm`` and ``Rmp``. This instantiates the existential variable and completes the proof. + .. coqtop:: none + + Abort. Goal R n p. + .. coqtop:: all eapply Rtrans. |
