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Robbert Krebbers
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This commit implements a generic `iAlways` tactic that is not tied to `persistently`, `affinely` and `plainly` but can be instantiated with a variety of always-style modalities. In order to plug in an always-style modality, one has to decide for both the persistent and spatial what action should be performed upon introducing the modality: - Introduction is only allowed when the context is empty. - Introduction is only allowed when all hypotheses satisfy some predicate `C : PROP → Prop` (where `C` should be a type class). - Introduction will only keep the hypotheses that satisfy some predicate `C : PROP → Prop` (where `C` should be a type class). - Introduction will clear the context. - Introduction will keep the context as-if. Formally, these actions correspond to the following inductive type: ```coq Inductive always_intro_spec (PROP : bi) := | AIEnvIsEmpty | AIEnvForall (C : PROP → Prop) | AIEnvFilter (C : PROP → Prop) | AIEnvClear | AIEnvId. ``` An always-style modality is then a record `always_modality` packing together the modality with the laws it should satisfy to justify the given actions for both contexts.
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