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Theorem mapped-full-aligndown-vol

⊦ avol0 ⊆ avol1 ∧ mapped-full?(avol0, n, m) → mapped-full?(avol1, n, m)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state: persistence-io-refine, persistence-io-asm,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 7
Used lemmas: mapped-full,
Used spec theorems:
- ebm-vol-inv/ebm-vol-le
Used simplifier rules:
- nat-basic/c
- nat-basic/a
- nat-basic/l-01
- nat-basic/f
- aleb/ex
- ebm-vol-inv/le-size-0
- nat/fle-01
- nat/lels
- nat-basic/lf-01
- aleb/disj
- aleb/test-02
- aleb/sel