// This prints the left floatting menu
Dedukti    Load Matita      Load Coq         Load Lean        Load PVS         Load OpenTheory Load
Dedukti-jumb

Theorem

nat.le_gen

Statement

∀ P n, ∀ i, i ≤ n ⇒ P i ⇒ P n

Main Dependencies
Theory
constant

Coq-Jumb
Statement

Theorem le_gen : forall (P:(nat -> Prop)), forall (n:nat), (forall (i:nat), (le i n) -> P i) -> P n.



Matita-Jumb
Statement

theorem le_gen : \forall (P:nat -> Prop). \forall (n:nat). (\forall (i:nat). ((le) i n) -> P i) -> P n.



Lean-jumb
Statement

theorem le_gen : forall (P:(nat.nat) -> Prop) , forall (n:nat.nat) , (forall (i:nat.nat) , ((((nat.le_) ) (i)) (n)) -> (P) (i)) -> (P) (n).



PVS-jumb

Statement

le_gen : LEMMA (FORALL(P:[nat_sttfa.sttfa_nat -> bool]):(FORALL(n:nat_sttfa.sttfa_nat):((FORALL(i:nat_sttfa.sttfa_nat):(nat_sttfa.le(i)(n) => P(i))) => P(n))))



OpenTheory

Printing for OpenTheory is not working at the moment.