lean4-htt/tests/lean/run/apply_tac.lean
E.W.Ayers d954706fcf feat: ApplyNewGoals config for apply
Lean.Meta.Tactic.apply now accepts an ApplyConfig argument.
`apply` now changes which metavariables are stored with choice
of the newGoals config.
This allows one to implement `fapply` and `eapply`.
An example of this is given in tests/lean/run/apply_tac.lean.

Closes #1045
2022-03-19 15:51:40 -07:00

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import Lean
open Lean
open Lean.Elab
open Lean.Meta
open Lean.Elab.Tactic
example (a b c : Nat) (h₁ : a = b) (h₂ : b = c) : a = c := by
apply Eq.trans _ h₂ -- the metavars created during elaboration become new goals
trace_state
exact h₁
example (a : Nat) : ∃ x, x = a := by
apply Exists.intro -- the goal for the witness should occur "after" the goal for x = a
trace_state
rfl
elab "fapply " e:term : tactic =>
evalApplyLikeTactic (Meta.apply (cfg := {newGoals := ApplyNewGoals.all})) e
elab "eapply " e:term : tactic =>
evalApplyLikeTactic (Meta.apply (cfg := {newGoals := ApplyNewGoals.nonDependentOnly})) e
example (a : Nat) : ∃ x, x = a := by
eapply Exists.intro -- only metavars with out forward dependencies are added as goals.
trace_state
rfl
example (a : Nat) : ∃ x, x = a := by
fapply Exists.intro -- all unassigned metavars are added as new goals using the order they were created.
trace_state
exact a
trace_state
rfl