feat: verifiable whileM via ordered fixpoints for stronger specs#13689
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sgraf812 wants to merge 4 commits into
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feat: verifiable whileM via ordered fixpoints for stronger specs#13689sgraf812 wants to merge 4 commits into
whileM via ordered fixpoints for stronger specs#13689sgraf812 wants to merge 4 commits into
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This PR generalizes
Spec.whileMandSpec.forIn_loopso that termination measures and invariants can range over monadic state, and shrinks the unfolding step's typeclass footprint to justLean.Order.MonadTail(replacingMonadAttach+LawfulMonadAttach+WPAdequate).Internally,
whileM.Predis reformulated around the order-theoretic least fixed point:whileM_eqtakes∃ g, whileM.body f g = gas a hypothesis, discharged bywhileM_eq_of_monadTailfrom the new typeclass. The previousInternal.Ensures/MayReturn/IsAttach/WPAdequateinfrastructure is removed.