EVERY_ASSUM : thm_tactic -> tactic

SYNOPSIS
Sequentially applies all tactics given by mapping a function over the assumptions of a goal.

DESCRIPTION
When applied to a theorem-tactic f and a goal ({A1;...;An} ?- C), the EVERY_ASSUM tactical maps f over the list of assumptions then applies the resulting tactics, in sequence, to the goal:
   EVERY_ASSUM f ({A1;...;An} ?- C)
    = (f(.. |- A1) THEN ... THEN f(.. |- An)) ({A1;...;An} ?- C)
If the goal has no assumptions, then EVERY_ASSUM has no effect.

FAILURE CONDITIONS
The application of EVERY_ASSUM to a theorem-tactic and a goal fails if the theorem-tactic fails when applied to any of the assumptions of the goal, or if any of the resulting tactics fail when applied sequentially.

SEE ALSO
ASSUM_LIST, MAP_EVERY, MAP_FIRST, THEN.