Helper method for bootstrapping purposes. It disables arith if support theorems have not been defined yet.
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Similar to Result.getProof, but adds a mkExpectedTypeHint if proof? is none
(i.e., result is definitionally equal to input), but we cannot establish that
source and r.expr are definitionally when using TransparencyMode.reducible.
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Return true if e is of the form ofNat n where n is a kernel Nat literal
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- dep: Lean.Meta.Simp.SimpLetCase
- nondepDepVar: Lean.Meta.Simp.SimpLetCase
- nondep: Lean.Meta.Simp.SimpLetCase
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Try to use automatically generated congruence theorems. See mkCongrSimp?.
Process the given congruence theorem hypothesis. Return true if it made "progress".
Try to rewrite e children using the given congruence theorem
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Return true if e is of the form (x : α) → ... → s = t → ... → False
Recall that this kind of proposition is generated by Lean when creating equations for
functions and match-expressions with overlapping cases.
Example: the following match-expression has overlapping cases.
def f (x y : Nat) :=
match x, y with
| Nat.succ n, Nat.succ m => ...
| _, _ => 0
The second equation is of the form
(x y : Nat) → ((n m : Nat) → x = Nat.succ n → y = Nat.succ m → False) → f x y = 0
The hypothesis (n m : Nat) → x = Nat.succ n → y = Nat.succ m → False is essentially
saying the first case is not applicable.
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Tries to solve e using unifyEq?.
It assumes that isEqnThmHypothesis e is true.
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Auxiliary method.
Given the current target of mvarId, apply r which is a new target and proof that it is equal to the current one.
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See simpTarget. This method assumes mvarId is not assigned, and we are already using mvarIds local context.
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Simplify the given goal target (aka type). Return none if the goal was closed. Return some mvarId' otherwise,
where mvarId' is the simplified new goal.
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Apply the result r for prop (which is inhabited by proof). Return none if the goal was closed. Return some (proof', prop')
otherwise, where proof' : prop' and prop' is the simplified prop.
This method assumes mvarId is not assigned, and we are already using mvarIds local context.
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Simplify prop (which is inhabited by proof). Return none if the goal was closed. Return some (proof', prop')
otherwise, where proof' : prop' and prop' is the simplified prop.
This method assumes mvarId is not assigned, and we are already using mvarIds local context.
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Simplify simp result to the given local declaration. Return none if the goal was closed.
This method assumes mvarId is not assigned, and we are already using mvarIds local context.