Metamath Proof Explorer


Definition df-propneg

Description: The negation of a sentence of propositional calculus is encoded by appending a one after the sentence. (Contributed by Thomas van Maaren, 21-Aug-2026)

Ref Expression
Assertion df-propneg Could not format assertion : No typesetting found for |- prop-. = ( x e. _V |-> ( x ++ <" 1 "> ) ) with typecode |-

Detailed syntax breakdown

Step Hyp Ref Expression
0 cpropneg Could not format prop-. : No typesetting found for class prop-. with typecode class
1 vx setvar x
2 cvv class V
3 1 cv setvar x
4 cconcat class ++
5 c1 class 1
6 5 cs1 class ⟨“ 1 ”⟩
7 3 6 4 co class x ++ ⟨“ 1 ”⟩
8 1 2 7 cmpt class x V x ++ ⟨“ 1 ”⟩
9 0 8 wceq Could not format prop-. = ( x e. _V |-> ( x ++ <" 1 "> ) ) : No typesetting found for wff prop-. = ( x e. _V |-> ( x ++ <" 1 "> ) ) with typecode wff