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Tasks:
Text Generation
Modalities:
Text
Sub-tasks:
language-modeling
Languages:
English
Size:
100K - 1M
License:
| \DOC ARITH_TAC | |
| \TYPE {ARITH_TAC : tactic} | |
| \SYNOPSIS | |
| Tactic for proving arithmetic goals needing basic rearrangement and linear | |
| inequality reasoning only. | |
| \DESCRIBE | |
| {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 | |
| 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. | |
| \SEEALSO | |
| ARITH_RULE, ASM_ARITH_TAC, INT_ARITH_TAC, NUM_RING, REAL_ARITH_TAC. | |
| \ENDDOC | |