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The syntax category of binder predicates contains predicates like > 0, ∈ s, etc.
(: t should not be a binder predicate because it would clash with the built-in syntax for ∀/∃.)
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satisfies_binder_pred% t pred expands to a proposition expressing that t satisfies pred.
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The notation ∃ x < 2, p x is shorthand for ∃ x, x < 2 ∧ p x,
and similarly for other binary operators.
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The notation ∀ x < 2, p x is shorthand for ∀ x, x < 2 → p x,
and similarly for other binary operators.
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Declare ∃ x > y, ... as syntax for ∃ x, x > y ∧ ...
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- Lean.«binderTerm>_» = Lean.ParserDescr.node `Lean.binderTerm>_ 1022 (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " > ") (Lean.ParserDescr.cat `term 0))
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Declare ∃ x ≥ y, ... as syntax for ∃ x, x ≥ y ∧ ...
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- Lean.«binderTerm≥_» = Lean.ParserDescr.node `Lean.binderTerm≥_ 1022 (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " ≥ ") (Lean.ParserDescr.cat `term 0))
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Declare ∃ x < y, ... as syntax for ∃ x, x < y ∧ ...
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- Lean.«binderTerm<_» = Lean.ParserDescr.node `Lean.binderTerm<_ 1022 (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " < ") (Lean.ParserDescr.cat `term 0))
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Declare ∃ x ≤ y, ... as syntax for ∃ x, x ≤ y ∧ ...
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- Lean.«binderTerm≤_» = Lean.ParserDescr.node `Lean.binderTerm≤_ 1022 (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " ≤ ") (Lean.ParserDescr.cat `term 0))
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Declare ∃ x ≠ y, ... as syntax for ∃ x, x ≠ y ∧ ...
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- Lean.«binderTerm≠_» = Lean.ParserDescr.node `Lean.binderTerm≠_ 1022 (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " ≠ ") (Lean.ParserDescr.cat `term 0))
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Declare ∀ x ∈ y, ... as syntax for ∀ x, x ∈ y → ... and ∃ x ∈ y, ... as syntax for
∃ x, x ∈ y ∧ ...
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- Lean.«binderTerm∈_» = Lean.ParserDescr.node `Lean.binderTerm∈_ 1022 (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " ∈ ") (Lean.ParserDescr.cat `term 0))
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Declare ∀ x ∉ y, ... as syntax for ∀ x, x ∉ y → ... and ∃ x ∉ y, ... as syntax for
∃ x, x ∉ y ∧ ...
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- Lean.«binderTerm∉_» = Lean.ParserDescr.node `Lean.binderTerm∉_ 1022 (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " ∉ ") (Lean.ParserDescr.cat `term 0))
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Declare ∀ x ⊆ y, ... as syntax for ∀ x, x ⊆ y → ... and ∃ x ⊆ y, ... as syntax for
∃ x, x ⊆ y ∧ ...
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- Lean.«binderTerm⊆_» = Lean.ParserDescr.node `Lean.binderTerm⊆_ 1022 (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " ⊆ ") (Lean.ParserDescr.cat `term 0))
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Declare ∀ x ⊂ y, ... as syntax for ∀ x, x ⊂ y → ... and ∃ x ⊂ y, ... as syntax for
∃ x, x ⊂ y ∧ ...
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- Lean.«binderTerm⊂_» = Lean.ParserDescr.node `Lean.binderTerm⊂_ 1022 (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " ⊂ ") (Lean.ParserDescr.cat `term 0))
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Declare ∀ x ⊇ y, ... as syntax for ∀ x, x ⊇ y → ... and ∃ x ⊇ y, ... as syntax for
∃ x, x ⊇ y ∧ ...
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- Lean.«binderTerm⊇_» = Lean.ParserDescr.node `Lean.binderTerm⊇_ 1022 (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " ⊇ ") (Lean.ParserDescr.cat `term 0))
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Declare ∀ x ⊃ y, ... as syntax for ∀ x, x ⊃ y → ... and ∃ x ⊃ y, ... as syntax for
∃ x, x ⊃ y ∧ ...
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- Lean.«binderTerm⊃_» = Lean.ParserDescr.node `Lean.binderTerm⊃_ 1022 (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol " ⊃ ") (Lean.ParserDescr.cat `term 0))