Documentation

Std.Do.SPred.Notation

Idiom notation #

Embedding of pure Lean values into SVal. An alias for SPred.pure.

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    Sugar for SPred #

    Entailment in SPred; sugar for SPred.entails.

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      Tautology in SPred; sugar for SPred.entails ⌜True⌝.

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        Bi-entailment in SPred; sugar for SPred.bientails.

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          Unexpander that reconstructs ⌜...⌝ syntax from applications of SPred.pure.

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            Unexpander that reconstructs ... ⊢ₛ ...⌝ syntax from applications of SPred.entails.

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              Unexpander that reconstructs ... ⊣⊢ₛ ...⌝ syntax from applications of SPred.entails.

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                Unexpander that reconstructs spred(... ∧ ...)⌝ syntax from applications of SPred.and, lifting nested applications of spred(...) from the arguments.

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                  Unexpander that reconstructs spred(... ∨ ...)⌝ syntax from applications of SPred.or, lifting nested applications of spred(...) from the arguments.

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                    Unexpander that reconstructs spred(¬ ...)⌝ syntax from applications of SPred.not, lifting nested applications of spred(...) from the argument.

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                      Unexpander that reconstructs spred(... → ...)⌝ syntax from applications of SPred.imp, lifting nested applications of spred(...) from the arguments.

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                        Unexpander that reconstructs spred(∀ ..., ...)⌝ syntax from applications of SPred.forall, lifting nested applications of spred(...) from the body.

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                          Unexpander that reconstructs spred(∃ ..., ...)⌝ syntax from applications of SPred.exists, lifting nested applications of spred(...) from the body.

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                            Unexpander that reconstructs spred(... ↔ ...)⌝ syntax from applications of SPred.iff, lifting nested applications of spred(...) from the arguments.

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