This PR implements RFC #12216: native computation (`native_decide`,
`bv_decide`) is represented in the logic as one axiom per computation,
asserting the equality that was obtained from the native computation.
`#print axiom` will no longer show `Lean.trustCompiler`, but rather the
auto-generated names of these axioms (with, for example,
`._native.bv_decide.` in the name). See the RFC for more information.
This PR introduces a common MetaM helper (`nativeEqTrue`) used by
`native_decide` and `bv_decide` alike that runs the computation and then
asserts the result using an axiom.
It also deprecated the `ofReduceBool` axioms etc.
Not included in this PR is infrastructure for enumerating these axioms,
prettier `#print axioms` (should we want his) and tactic concurrency.
Fixes#12216.
This PR fixes the bug that `collectAxioms` didn't collect axioms
referenced by other axioms. One of the results of this bug is that
axioms collected from a theorem proved by `native_decide` may not
include `Lean.trustCompiler`.
Closes#8840.
This PR adds configuration options for
`decide`/`decide!`/`native_decide` and refactors the tactics to be
frontends to the same backend. Adds a `+revert` option that cleans up
the local context and reverts all local variables the goal depends on,
along with indirect propositional hypotheses. Makes `native_decide` fail
at elaboration time on failure without sacrificing performance (the
decision procedure is still evaluated just once). Now `native_decide`
supports universe polymorphism.
Closes#2072