feat: verifiable whileM via ordered fixpoints for stronger specs#13689
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This PR makes the unfolding lemma for `whileM` derivable from a `Lean.Order.MonadTail` instance instead of `MonadAttach`/`Acc`. The public entry point is `whileM_eq_of_monadTail` in `Init.Internal.Order.While`; the underlying pinning predicate `whileM.Pred` and the conditional `whileM_eq` lemma in `Init.While` are kept module-internal. The state-aware `Spec.whileM` and `Spec.forIn_loop` in `Std.Do.Triple.SpecLemmas` use the same `WhileInvariant α β ps` cursor over `α ⊕ β`. `WPAdequate` and the supporting `Ensures`/`MayReturn` machinery move to `Std.Do.WP.Adequate` and `Std.Do.Internal.Ensures`.
# Conflicts: # src/Std/Do/Triple/SpecLemmas.lean
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This PR makes the unfolding lemma for
whileMderivable from aLean.Order.MonadTailinstance. The public entry point iswhileM_eq_of_monadTailinInit.Internal.Order.While; the underlying pinning predicatewhileM.Predand the conditionalwhileM_eqlemma inInit.Whileare kept module-internal.The state-aware
Spec.whileMandSpec.forIn_loopinStd.Do.Triple.SpecLemmasuse the sameWhileInvariant α β psfor expressing termination measures.WPAdequateand the supportingEnsures/MayReturnmachinery move toStd.Do.WP.AdequateandStd.Do.Internal.Ensures.