Theorems · Theorem · computer science
ContextFreeGrammar.language_eq_zero_of_forall_input_ne_initial
∀ {T : Type u_1} {g : ContextFreeGrammar T}, (∀ r ∈ g.rules, r.input ≠ g.initial) → g.language = 0- Defined in
- Mathlib.Computability.ContextFreeGrammar
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Languagestatement · cited by 125
- ContextFreeGrammarstatement and proof · cited by 39
- ContextFreeRulestatement and proof · cited by 33
- ContextFreeGrammar.NTstatement and proof · cited by 30
- Language.extproof · cited by 16
- ContextFreeRule.inputstatement and proof · cited by 13
- ContextFreeGrammar.rulesstatement and proof · cited by 9
- ContextFreeGrammar.initialstatement and proof · cited by 7
- ContextFreeGrammar.languagestatement · cited by 4
- Symbol.ctorIdxproof · cited by 1
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