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Axiom ax-inst 113
Description: Instantiate a theorem with a new term. The second and third hypotheses are the HOL equivalent of set.mm "effectively not free in" predicate (see set.mm's ax-17, or ax17m 218). (Contributed by Mario Carneiro, 8-Oct-2014.)
Ref Expression
ax-inst.1 RA
ax-inst.2 ⊤⊧[(λx:α By:α) = B]
ax-inst.3 ⊤⊧[(λx:α Sy:α) = S]
ax-inst.4 [x:α = C]⊧[A = B]
ax-inst.5 [x:α = C]⊧[R = S]
Ref Expression
ax-inst SB
Distinct variable groups:   x,y   y,B   y,S

Detailed syntax breakdown of Axiom ax-inst
StepHypRef Expression
1 ts . 2 term S
2 tb . 2 term B
31, 2wffMMJ2 11 1 wff SB
Colors of variables: type var term
This axiom is referenced by:  insti  114  leqf  181  ax9  212
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