annotate Paper/src/term1.agda @ 14:ba98083f9853 default tip

FIX
author soto <soto@cr.ie.u-ryukyu.ac.jp>
date Fri, 27 May 2022 12:31:39 +0900
parents 14a0e409d574
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
0
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
1 stmt2Cond : {c10 :ℕ} → Cond
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
2 stmt2Cond {c10} env = (Equal (varn env) c10) ∧ (Equal (vari env) 0)
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
3
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
4 lemma1 : {c10 :ℕ} → Axiom (stmt1Cond {c10})
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
5 (λ env → record { varn = varn env ; vari = 0 }) (stmt2Cond {c10})
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
6 lemma1 {c10} env = impl⇒ ( λ cond → let open ≡-Reasoning in
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
7 begin
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
8 ? -- ?0
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
9 ≡⟨ ? ⟩ -- ?1
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
10 ? -- ?2
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
11 ∎ )
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
12
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
13 -- ?0 : Bool
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
14 -- ?1 : stmt2Cond (record { varn = varn env ; vari = 0 }) ≡ true
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
15 -- ?2 : Bool