Theorems · Theorem · computer science
ContextFreeGrammar.derives_nonterminal
∀ {T : Type u_1} {g : ContextFreeGrammar T} {t : g.NT},
(∀ r ∈ g.rules, r.input ≠ t) →
∀ (s : List (Symbol T g.NT)), s ≠ [Symbol.nonterminal t] → ¬g.Derives [Symbol.nonterminal t] s- Defined in
- Mathlib.Computability.ContextFreeGrammar
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Symbolstatement and proof · cited by 47
- ContextFreeGrammarstatement and proof · cited by 39
- ContextFreeRulestatement and proof · cited by 33
- ContextFreeGrammar.NTstatement and proof · cited by 30
- ContextFreeGrammar.Derivesstatement and proof · cited by 19
- ContextFreeGrammar.Producesproof · cited by 17
- ContextFreeRule.inputstatement and proof · cited by 13
- ContextFreeGrammar.rulesstatement and proof · cited by 9
- ContextFreeGrammar.Produces.exists_nonterminal_input_memproof · cited by 1
- Symbol.nonterminal.injEqproof · cited by 1
- ContextFreeGrammar.derives_iff_eq_or_headproof · cited by 1
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