Commit 1c14ae6f authored by Robbert Krebbers's avatar Robbert Krebbers
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Update star symbol in ProofMode docs.

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......@@ -99,7 +99,7 @@ Separating logic specific tactics
+ `%` : repeatedly frame hypotheses from the Coq context.
+ `#` : repeatedly frame hypotheses from the persistent context.
+ `` : frame as much of the spatial context as possible.
+ `` : frame as much of the spatial context as possible.
Notice that framing spatial hypotheses makes them disappear, but framing Coq
or persistent hypotheses does not make them disappear.
......@@ -107,7 +107,7 @@ Separating logic specific tactics
This tactic finishes the goal in case everything in the conclusion has been
framed.
- `iCombine "H1" "H2" as "H"` : turns `H1 : P1` and `H2 : P2` into
`H : P1 P2`.
`H : P1 P2`.
Modalities
----------
......@@ -173,7 +173,7 @@ following _selection patterns_:
- `H` : select the hypothesis named `H`.
- `%` : select the entire pure/Coq context.
- `#` : select the entire persistent context.
- `` : select the entire spatial context.
- `` : select the entire spatial context.
Introduction patterns
=====================
......@@ -208,7 +208,7 @@ appear at the top level:
For example, given:
∀ x, x = 0 ⊢ □ (P → False ∨ □ (Q ∧ ▷ R) - P ▷ (R Q ∧ x = pred 2)).
∀ x, x = 0 ⊢ □ (P → False ∨ □ (Q ∧ ▷ R) - P ▷ (R Q ∧ x = pred 2)).
You can write
......@@ -222,14 +222,14 @@ which results in:
"HQ" : Q
"HR" : R
--------------------------------------□
R Q ∧ x = 1
R Q ∧ x = 1
Specialization patterns
=======================
Since we are reasoning in a spatial logic, when eliminating a lemma or
hypothesis of type ``P_0 - ... - P_n - R``, one has to specify how the
hypothesis of type ``P_0 - ... - P_n - R``, one has to specify how the
hypotheses are split between the premises. The proof mode supports the following
_specification patterns_ to express splitting of hypotheses:
......@@ -239,22 +239,22 @@ _specification patterns_ to express splitting of hypotheses:
all persistent hypotheses. The spatial hypotheses among `H1 ... Hn` will be
consumed. Hypotheses may be prefixed with a `$`, which results in them being
framed in the generated goal.
- `[-H1 ... Hn]` : negated form of the above pattern.
- `[-H1 ... Hn]` : negated form of the above pattern.
- `>[H1 ... Hn]` : same as the above pattern, but can only be used if the goal
is a modality, in which case the modality will be kept in the generated goal
for the premise will be wrapped into the modality.
- `>[-H1 ... Hn]` : negated form of the above pattern.
- `>` : shorthand for `>[-]` (typically used for the last premise of an applied
lemma).
- `[#]` : This pattern can be used when eliminating `P - Q` with `P`
- `[#]` : This pattern can be used when eliminating `P - Q` with `P`
persistent. Using this pattern, all hypotheses are available in the goal for
`P`, as well the remaining goal.
- `[%]` : This pattern can be used when eliminating `P - Q` when `P` is pure.
- `[%]` : This pattern can be used when eliminating `P - Q` when `P` is pure.
It will generate a Coq goal for `P` and does not consume any hypotheses.
For example, given:
H : □ P - P 2 - x = 0 - Q1 ∗ Q2
H : □ P - P 2 - x = 0 - Q1 ∗ Q2
You can write:
......
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