key stringlengths 12 67 | value stringlengths 29 186 |
|---|---|
absolute value upper bounds input | Theorem Zle_abs : forall p : Z, (p <= Z_of_nat (Z.abs_nat p))%Z. |
functionally equal functions produce equivalent maps | Lemma map_ext : forall (A B : Type)(f g:A->B), (forall a, f a = g a) -> forall l, map f l = map g l. |
boolean negation self invert | Lemma negb_involutive : forall b:bool, negb (negb b) = b. |
reciprocal self invert | Lemma Rinv_inv r : / / r = r. |
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