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ARITH_TAC : tactic

SYNOPSIS

Tactic for proving arithmetic goals needing basic rearrangement and linear inequality reasoning only.

DESCRIPTION

ARITH_TAC will automatically prove goals that require basic algebraic normalization and inequality reasoning over the natural numbers. For nonlinear equational reasoning use NUM_RING and derivatives.

FAILURE CONDITIONS

Fails if the automated methods do not suffice.

EXAMPLE

  # g `1 <= x /\ x <= 3 ==> x = 1 \/ x = 2 \/ x = 3`;;
  Warning: Free variables in goal: x
  val it : goalstack = 1 subgoal (1 total)

  `1 <= x /\ x <= 3 ==> x = 1 \/ x = 2 \/ x = 3`

  # e ARITH_TAC;;
  val it : goalstack = No subgoals

USES

Solving basic arithmetic goals.